solve for x.\n5(x - 10) = 30 - 15x\no x = 1\no x = 4\no x = 5\no x = 8

Explanation:

Step1: Expand the left - hand side

$5(x - 10)=5x-50$, so the equation becomes $5x - 50=30 - 15x$.

Step2: Add $15x$ to both sides

$5x+15x - 50=30-15x + 15x$, which simplifies to $20x-50 = 30$.

Step3: Add 50 to both sides

$20x-50 + 50=30 + 50$, resulting in $20x=80$.

Step4: Divide both sides by 20

$\frac{20x}{20}=\frac{80}{20}$, so $x = 4$.

Answer:

$x = 4$