Question

solve the equation for x.
2(x - a) + 3b = 3x + a
x = \square (simplify your answer.)

Explanation:

Step1: Expand the left side

Using the distributive property, \(2(x - a)=2x - 2a\), so the equation becomes \(2x - 2a+3b = 3x + a\).

Step2: Move all x terms to one side

Subtract \(2x\) from both sides: \(-2a + 3b=3x - 2x + a\), which simplifies to \(-2a + 3b=x + a\).

Step3: Solve for x

Subtract \(a\) from both sides: \(x=-2a - a+3b\), combining like terms gives \(x = 3b-3a\) (or \(x=-3a + 3b\)).

Answer:

\(3b - 3a\) (or equivalent forms like \(-3a + 3b\))