The value of x is
![x=-1](https://img.qammunity.org/2021/formulas/mathematics/middle-school/r09d2j03o35wlqb201n202kkqkmlb1vt4x.png)
Step-by-step explanation:
The given expression is
![18+8 x=-x-3(1+4 x)](https://img.qammunity.org/2021/formulas/mathematics/high-school/ghehyrt37avldnkmwdh7qc2zhraou2g4g7.png)
We need to find the value of x.
To determine the value of x, let us solve the expression for x.
Multiplying the term 3 within the bracket, we have,
![18+8 x=-x-3-12 x](https://img.qammunity.org/2021/formulas/mathematics/high-school/f4yt19o1k00waf7fkruml9tvz2be0p8tvr.png)
Simplifying, we get,
![18+8 x=-13x-3](https://img.qammunity.org/2021/formulas/mathematics/high-school/vf8rnxfl55es5cuc8gjn8m05r7nvehi07l.png)
Adding both sides of the expression by 13x, we have,
![18+21x=-3](https://img.qammunity.org/2021/formulas/mathematics/high-school/re2ib3mgs0tg0cli0yshwuwtby10w9d1me.png)
Adding both sides of the expression by 18, we get,
![21x=-21](https://img.qammunity.org/2021/formulas/mathematics/high-school/mshg29efq2i4v2lilfyb5zxbh5d7935n66.png)
Dividing both sides of the equation by 21, we get,
![x=-1](https://img.qammunity.org/2021/formulas/mathematics/middle-school/r09d2j03o35wlqb201n202kkqkmlb1vt4x.png)
Thus, the value of x is
![x=-1](https://img.qammunity.org/2021/formulas/mathematics/middle-school/r09d2j03o35wlqb201n202kkqkmlb1vt4x.png)