Question

Solve the following equation for xx. Express your answer in the simplest form.
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
\[
\boxed{1}
\]