Question

solve: 17 - (4x - 8) = 2(3x - 65)

Explanation:

Step1: Expand the expressions

First, expand both sides of the equation.
$17-(4x - 8)=17-4x + 8=25-4x$, and $2(3x - 65)=6x-130$.
So the equation becomes $25-4x=6x - 130$.

Step2: Move the terms with x to one - side

Add $4x$ to both sides of the equation:
$25-4x + 4x=6x-130 + 4x$, which simplifies to $25 = 10x-130$.

Step3: Move the constant term to the other side

Add 130 to both sides of the equation:
$25+130=10x-130 + 130$, so $155 = 10x$.

Step4: Solve for x

Divide both sides of the equation by 10:
$x=\frac{155}{10}=\frac{31}{2}=15.5$.

Answer:

$x = 15.5$