Question

5(x-9)=2x+15

Answer 1

To solve the equation \( 5(x - 9) = 2x + 15 \), follow these steps:

1. Distribute the 5 on the left side:
\[
5x - 45 = 2x + 15
\]

2. Next, isolate the variable \( x \). Start by subtracting \( 2x \) from both sides:
\[
5x - 2x - 45 = 15
\]
which simplifies to:
\[
3x - 45 = 15
\]

3. Add 45 to both sides to get rid of the constant on the left:
\[
3x = 15 + 45
\]
\[
3x = 60
\]

4. Finally, divide both sides by 3 to solve for \( x \):
\[
x = \frac{60}{3}
\]
\[
x = 20
\]

So, the solution to the equation is \( x = 20 \).