solve for $x$. give an exact answer. $0.5(5 - 7x)=8-(4x + 6)$

Explanation:

Step1: Expand both sides

$0.5\times5 - 0.5\times7x=8 - 4x - 6$ $2.5-3.5x = 2 - 4x$

Step2: Add $4x$ to both sides

$2.5-3.5x + 4x=2 - 4x+ 4x$ $2.5 + 0.5x=2$

Step3: Subtract $2.5$ from both sides

$2.5 + 0.5x-2.5=2 - 2.5$ $0.5x=-0.5$

Step4: Divide both sides by $0.5$

$\frac{0.5x}{0.5}=\frac{-0.5}{0.5}$ $x = - 1$

Answer:

$x=-1$