Solve the following equation for xx. Express your answer in the simplest form.

Question

6, left parenthesis, 2, x, plus, 4, right parenthesis, equals, 6, x, plus, 30
6(2x+4)=
6x+30

Answer 1

To solve the equation \( 6(2x + 4) = 6x + 30 \), we will start by distributing the \( 6 \) on the left-hand side.

1. Distribute \( 6 \) to \( 2x \) and \( 4 \): \[ 6 \cdot 2x + 6 \cdot 4 = 12x + 24 \] So the equation becomes: \[ 12x + 24 = 6x + 30 \]

2. Next, subtract \( 6x \) from both sides to get all the \( x \) terms on one side: \[ 12x - 6x + 24 = 30 \] This simplifies to: \[ 6x + 24 = 30 \]

3. Now, subtract \( 24 \) from both sides: \[ 6x = 30 - 24 \] Simplifying the right side gives: \[ 6x = 6 \]

4. Divide both sides by \( 6 \): \[ x = 1 \]

Thus, the solution to the equation \( 6(2x + 4) = 6x + 30 \) is \[ \boxed{1} \]