Question

solve for x. - 3x + 12x + 6 = 7x + 30 simplify your answer as much as possible.

Explanation:

Step1: Combine like - terms on left side

Combine $-3x$ and $12x$: $(-3 + 12)x+6=7x + 30$, which simplifies to $9x+6=7x + 30$.

Step2: Move variable terms to one side

Subtract $7x$ from both sides: $9x-7x + 6=7x-7x + 30$, resulting in $2x+6=30$.

Step3: Move constant terms to the other side

Subtract 6 from both sides: $2x+6 - 6=30 - 6$, giving $2x=24$.

Step4: Solve for x

Divide both sides by 2: $\frac{2x}{2}=\frac{24}{2}$, so $x = 12$.

Answer:

$x = 12$