Step 1: Write the given equation. The equation provided is: 4(x − 2) = 2x + 6 Step 2: Distribute the 4 on the left side of the equation. 4 · x − 4 · 2 = 2x + 6; 4x − 8 = 2x + 6 Step 3: Move all terms containing x to one side and constant terms to the other side. Subtract 2x from both sides: 4x − 2x − 8 = 6; 2x − 8 = 6 Add 8 to both sides: 2x = 6 + 8; 2x = 14 Step 4: Solve for x. Divide both sides by 2: x = 14/2; x = 7 The solution for x is: x = 7

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4(x − 2) = 2x + 6

June 2, 2026Mathematics

ScanSolve AI Answer

Answer

x = 7

Step-by-step solution

4 steps

Write the given equation.
The equation provided is:
$4(x - 2) = 2x + 6$
Distribute the 4 on the left side of the equation.
$4 \cdot x - 4 \cdot 2 = 2x + 6$ $4x - 8 = 2x + 6$
Move all terms containing $x$ to one side and constant terms to the other side.
Subtract $2x$ from both sides:
$4x - 2x - 8 = 6$ $2x - 8 = 6$
Add 8 to both sides:
$2x = 6 + 8$ $2x = 14$
Solve for $x$ .
Divide both sides by 2:
$x = \frac{14}{2}$ $x = 7$
The solution for $x$ is: