Answer:
![x=-0.6877](https://img.qammunity.org/2019/formulas/mathematics/college/lzvm87553gsj70xnafbpihvcnnbzwvl9nq.png)
Explanation:
Equation given is:
![78(-32-48x)+36=23(-33x-18)-10x](https://img.qammunity.org/2019/formulas/mathematics/college/jfb8a59slc5b710byna16dw06lizfc2n1s.png)
First we need to expand the brackets,
![-2496-3744x+36=-759x-414-10x](https://img.qammunity.org/2019/formulas/mathematics/college/kdbgybucqdwlwysuxb5cso0yhwdeyqbvhz.png)
Second we have to rearrange the equation, take all the terms with x values to the left side and all the other values to the right side of the equal sign.
![-3744x+759x+10x=-414+2496-36](https://img.qammunity.org/2019/formulas/mathematics/college/vswg8sdgdr0p1vqhflpj5ct6g0w976he9q.png)
Now we have to simplify the equation to find x.
![-2975x=2046](https://img.qammunity.org/2019/formulas/mathematics/college/liij13sar9dhvm7ir0eswuj7mqw961uv0m.png)
![x=(2046)/(-2975) =-0.6877](https://img.qammunity.org/2019/formulas/mathematics/college/p04e0gzkanp1wet5t1qndw46jyzdnpxpv9.png)
Therefore,
![x=-0.6877](https://img.qammunity.org/2019/formulas/mathematics/college/lzvm87553gsj70xnafbpihvcnnbzwvl9nq.png)