Question

solve the equation below. (1 point) 2(3x - 8) + 7 = 4x - 4 x = \boxed{}

Explanation:

Step1: Expand the left side

Using the distributive property \(a(b - c)=ab - ac\), we expand \(2(3x - 8)\) to get \(6x-16\). So the equation becomes \(6x - 16+7 = 4x-4\).

Step2: Simplify both sides

Simplify the left side: \(6x-9 = 4x - 4\).

Step3: Subtract \(4x\) from both sides

Subtract \(4x\) from each side: \(6x-4x - 9=4x - 4x-4\), which simplifies to \(2x-9=-4\).

Step4: Add 9 to both sides

Add 9 to each side: \(2x-9 + 9=-4 + 9\), so \(2x = 5\).

Step5: Divide by 2

Divide both sides by 2: \(x=\frac{5}{2}=2.5\).

Answer:

\(x = \frac{5}{2}\) (or \(x = 2.5\))