Answer:
![x=5](https://img.qammunity.org/2021/formulas/mathematics/middle-school/r130cmidu5qpu4isx9n84rpneq2ec7gp1u.png)
Explanation:
So we have the equation:
![3.8x-2(x-9)=4.4x+5](https://img.qammunity.org/2021/formulas/mathematics/college/hbe4qn4y2ot785s4rjw6v5rgzt4qvhdy63.png)
Distribute the -2:
![3.8x+(-2x+18)=4.4x+5](https://img.qammunity.org/2021/formulas/mathematics/college/cp91obq6059zytgza73fwl0vwch7cxnuvp.png)
Combine like terms on the left:
![1.8x+18=4.4x+5](https://img.qammunity.org/2021/formulas/mathematics/college/mwo8upnnmni38xqypkcoi063v6ekldzt5f.png)
Subtract 1.8x from both sides. The left cancels:
![18=2.6x+5](https://img.qammunity.org/2021/formulas/mathematics/college/anj2x07x3pof121gxtstbzkqgm7knxdrjf.png)
Subtract 5 from both sides. The right cancels:
![13=2.6x](https://img.qammunity.org/2021/formulas/mathematics/college/6lh1l5hw5qv4jwa161bnwnt90jvzgy555f.png)
Divide both sides by 2.6:
![x=13/2.6](https://img.qammunity.org/2021/formulas/mathematics/college/bjg1w6hd2tarrzw4la67xrbnqzs3l72eu4.png)
Simplify (multiply both layers by 10 to get rid of the decimal):
![x=130/26](https://img.qammunity.org/2021/formulas/mathematics/college/6rpbbzd1nrkcfz7lhzl1if91628vm25g72.png)
Reduce (divide both layers by 26):
![x=5](https://img.qammunity.org/2021/formulas/mathematics/middle-school/r130cmidu5qpu4isx9n84rpneq2ec7gp1u.png)
So, the value of x is 5.