Question

50 Points!!

1. Simplify the expression. 2 x (8 − 3) − 6

2. Solve the equation for c. 14c -6 = 22

3. What value of x makes this equation true? 2x + 18 = 5x

4. Simplify. 18 − c + 9c + 6

5. Solve for x. 8x=-56

Answer 1

#1

`\\ \sf\longmapsto 2(8-3)-6=2(5)-6=10-6=4`

#2

`\\ \sf\longmapsto 14c-6=22`

`\\ \sf\longmapsto 14c=22+6=28`

`\\ \sf\longmapsto c=2`

#3

`\\ \sf\longmapsto 2x+18=5x`

`\\ \sf\longmapsto 5x-2x=18`

`\\ \sf\longmapsto 3x=18`

`\\ \sf\longmapsto x=6`

#4

`\\ \sf\longmapsto 18-c+9c+6`

`\\ \sf\longmapsto 24+8c`

#5

`\\ \sf\longmapsto 8x=56`

`\\ \sf\longmapsto x=7`

Answer 2

1.
`2\cdot(8-3)-6=2\cdot5-6=4`

2.
`14c-6=22\implies14c=28\implies c=2`

3.
`2x+18=5x\implies 3x=18\implies x=6`

4.
`18-c+9c+6=24+8c`

5.
`8x=-56\implies x=-7`

Hope this helps :)