Chapter A.6, Problem 24AYU

To determine

To solve: $3\left(2-x\right)=2x-1$

Answer to Problem 24AYU

$x=\frac{7}{5}$

Explanation of Solution

$3\left(2-x\right)=2x-1$

$6-3x=2x-1$

$6-3x+3x=2x-1+3x$   (Add $3x$ on both sides)

$6=5x-1$

$6+1=5x-1+1$   (Add 1 on both sides)

$7=5x$

$5x=7$

$\frac{5x}{5}=\frac{7}{5}$   (Divide 5 on both sides)

$x=\frac{7}{5}$