Answer:
![2.\ 9(3x) = 27x](https://img.qammunity.org/2021/formulas/mathematics/middle-school/cc32xz0xexdn54n0de2u948zh4jdvdsl75.png)
![3.\ (1)/(2)(10x) + 7 - 3 = 5x + 4](https://img.qammunity.org/2021/formulas/mathematics/middle-school/69774hsy2x0t5fcshcxoexojo0vl7s17wd.png)
![4.\ -5(4x) = -20x](https://img.qammunity.org/2021/formulas/mathematics/middle-school/zpdjqtfu5750i7mjy0h3pxhmluq2569zzv.png)
![5.\ 10 - 2 (8x) - 3 = 7 - 16x](https://img.qammunity.org/2021/formulas/mathematics/middle-school/iv1rkx11tvlburp2psib2gtq5x2afnsg13.png)
![6.\ 3(7x) + 3 (-5) = 21x -15](https://img.qammunity.org/2021/formulas/mathematics/middle-school/7777u4sqjir0np9avx8a1oe8qjww6i9drk.png)
Explanation:
Required
Solve each expression
![1.\ 10+x+ 8](https://img.qammunity.org/2021/formulas/mathematics/middle-school/n4225ioq6faa6hc2h4624zefccwjixxl7q.png)
Start by collecting like terms
![10+ 8+x](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ndc6nm1l00i4d75gsz9kl7klxf6ir1km0i.png)
Add like terms
![18+x](https://img.qammunity.org/2021/formulas/mathematics/middle-school/evgfi5afdm7x2e3o9l9lm09ges8sct3sq8.png)
The expression can't be solved further
Hence;
![2.\ 9(3x)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/cshme2bd1v57wo3zhfzzfkpsryxe6ukq3p.png)
Open the bracket
![9 * 3x](https://img.qammunity.org/2021/formulas/mathematics/middle-school/h0dq02g43nq0nve0ryh5qm1n0scg1ram2c.png)
![27x](https://img.qammunity.org/2021/formulas/mathematics/high-school/9r3b0wxj1r10m9t3czj0g3b71pv41u4qxd.png)
The expression can't be solved further
Hence,
![9(3x) = 27x](https://img.qammunity.org/2021/formulas/mathematics/middle-school/r3133hov9wgslkyydb0s67w3sg8599ygw8.png)
![3.\ (1)/(2)(10x) + 7 - 3](https://img.qammunity.org/2021/formulas/mathematics/middle-school/olsun1msyxh2duym42gj3yb1yn0tutr8xj.png)
Open bracket
![(1)/(2) * 10x + 7 - 3](https://img.qammunity.org/2021/formulas/mathematics/middle-school/enb9v6b9ohs4qrrig760bo01oaof8r04n8.png)
![5x + 7 - 3](https://img.qammunity.org/2021/formulas/mathematics/middle-school/qaix9jsc4g7qgbyf7kph6ou13nxrxxwkf6.png)
![5x + 4](https://img.qammunity.org/2021/formulas/mathematics/middle-school/dpkiid5dps19cpotr4v98okmh9x04sd4nr.png)
The expression can't be solved further;
Hence,
![(1)/(2)(10x) + 7 - 3 = 5x + 4](https://img.qammunity.org/2021/formulas/mathematics/middle-school/e1lrm6i01gm6k42ut6dho97cxsqs1mty2s.png)
![4.\ -5(4x)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/v4dsllroaxaugnn1xvu70datwd7iqtxnbb.png)
Open the bracket
![-5 * 4x](https://img.qammunity.org/2021/formulas/mathematics/middle-school/z5tg68i1pqa57dlsitpr4398avjisfus7o.png)
![-20x](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ukysya4o4iht6i1ec44t1w31ptizk0ht8v.png)
The expression can't be solved further
Hence,
![-5(4x) = -20x](https://img.qammunity.org/2021/formulas/mathematics/middle-school/hoxi9wsosxhrnvv5uu2wsh4975mugl7cup.png)
![5.\ 10 - 2 (8x) - 3](https://img.qammunity.org/2021/formulas/mathematics/middle-school/aecvj5jcilqysoggqk57ss4r03lv19u6fh.png)
Open Bracket
![10 - 2 *8x - 3](https://img.qammunity.org/2021/formulas/mathematics/middle-school/4czzep9hh5erui2807b9rrrvdaluyvf8na.png)
![10 - 16x - 3](https://img.qammunity.org/2021/formulas/mathematics/middle-school/w58msa2nvimaiwrwfxv2ji78umd9uxjznx.png)
Collect like terms
![10 - 3 - 16x](https://img.qammunity.org/2021/formulas/mathematics/middle-school/1rb0kk703obqpzavdi3rctb7z1uvtynh5t.png)
![7 - 16x](https://img.qammunity.org/2021/formulas/mathematics/middle-school/335m5d615llcbqc4um82kaeo76y2tiyggo.png)
The expression can't be solved further
Hence,
![10 - 2 (8x) - 3 = 7 - 16x](https://img.qammunity.org/2021/formulas/mathematics/middle-school/rfdfm89cd7bs4rjn2iusx28tw0bc8eskg9.png)
![6.\ 3(7x) + 3 (-5)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/d6vojnhwdz7gsn1qaqkksp2yp2pelj77ee.png)
Open both brackets
![3*7x + 3 * -5](https://img.qammunity.org/2021/formulas/mathematics/middle-school/z0g5s0yua7fwbwu026gn9pu7j5gss4m5th.png)
![21x -15](https://img.qammunity.org/2021/formulas/mathematics/middle-school/z0l7umcwb34zcqq99crfv31dyw5lygt8tf.png)
The expression can't be solved further
Hence,
![3(7x) + 3 (-5) = 21x -15](https://img.qammunity.org/2021/formulas/mathematics/middle-school/nz46hnb7drdksrrdd7cmkxww227p0x2w04.png)