Answer:
![x=-2(2)/(3)](https://img.qammunity.org/2022/formulas/mathematics/college/omxc4nr72k4sd1yaxmvkj77httvc2dlwxh.png)
Explanation:
1/4(x + 4x) + 12 = 1/2(2 - x) + 10
0.25(x + 4x) + 12 = 0.5(2 - x) + 10
0.25x + x + 12 = x - 0.5x + 10
1.25x + 12 = 0.5x + 10
1.25x + 12 - 12 = 0.5x + 10 - 12
1.25x = 0.5x - 2
1.25x - 0.5x = 0.5x - 0.5x - 2
0.75x = - 2
0.75x ÷ 0.75 = - 2 ÷ 0.75
![x=-2(2)/(3)](https://img.qammunity.org/2022/formulas/mathematics/college/omxc4nr72k4sd1yaxmvkj77httvc2dlwxh.png)