Given:
4(2x-8)= -(2-3x)
Let's solve for x.
First step:
Use distributive property to expand the parentheses
4(2x) - 4(8) = -2 -(-3x)
8x - 32 = -2 + 3x
Next step:
Add 32 to both sides
8x - 32 + 32 = -2 + 32 + 3x
8x = 30 + 3x
Subtract 3x from both sides:
8x - 3x = 30 + 3x - 3x
5x = 30
Divide both sides by 5:
[tex]\begin{gathered} \frac{5x}{5}=\frac{30}{5} \\ \\ x\text{ = 6} \end{gathered}[/tex]ANSWER:
x = 6
