Question

1/4 (3x + 8) = x - 2

Explanation:

Step1: Eliminate the fraction

Multiply both sides of the equation \(\frac{1}{4}(3x + 8)=x - 2\) by 4 to get rid of the fraction.
\(4\times\frac{1}{4}(3x + 8)=4\times(x - 2)\)
Simplifying both sides, we have \(3x + 8 = 4x-8\).

Step2: Move the variable terms to one side

Subtract \(3x\) from both sides of the equation \(3x + 8 = 4x-8\).
\(3x + 8-3x=4x - 8-3x\)
Simplifying, we get \(8=x - 8\).

Step3: Solve for \(x\)

Add 8 to both sides of the equation \(8=x - 8\).
\(8 + 8=x-8 + 8\)
Simplifying, we find \(x = 16\).

Answer:

\(x = 16\)