Question

solve this equation for x
5(2x + 3) = 7x - 3

x=5

x=6

x=-5

x=-6

Answer 1

To solve the equation \( 5(2x + 3) = 7x - 3 \), we'll start by expanding and simplifying both sides.

1. Distribute the 5 on the left side:
\[
10x + 15 = 7x - 3
\]

2. Next, we'll move all terms involving \( x \) to one side and constant terms to the other. Subtract \( 7x \) from both sides:
\[
10x - 7x + 15 = -3
\]
Simplifying gives:
\[
3x + 15 = -3
\]

3. Now, subtract 15 from both sides:
\[
3x = -3 - 15
\]
This simplifies to:
\[
3x = -18
\]

4. Finally, divide both sides by 3:
\[
x = -6
\]

Thus, the solution to the equation is \( x = -6 \).

The correct answer from the provided options is:
**x = -6**.