Question

Solve for x: x-2(x-\frac{3}{2}x)=2(4-x)+10" alt="x-2(x-\frac{3}{2}x)=2(4-x)+10" align="absmiddle" class="latex-formula">

Answer 1

Answer:

$x = \frac{9}{2}$

Step-by-step explanation:

x - 2 (x - $\frac{3x}{2}$) = 2 (4 - x) + 10

x − 2 × $\frac{-x}{2}$ =2(4−x)+10

x−(−x)=2(4−x)+10

x+x=2(4−x)+10

2x=2(4−x)+10

2x=8−2x+10

2x=−2x+18

2x+2x=18

4x=18

$x = \frac{18}{4}$

$x = \frac{9}{2}$