Asked by GOJO OR SUKUNA

Solve this equation for x:



5(2x + 3) = 7x - 3

Answers

There are no human answers yet.
Answered by GPT-4o mini
To solve the equation \( 5(2x + 3) = 7x - 3 \), we start by distributing the 5 on the left side:

\[
5 \cdot 2x + 5 \cdot 3 = 7x - 3
\]

This simplifies to:

\[
10x + 15 = 7x - 3
\]

Next, we want to isolate \( x \). We can do this by subtracting \( 7x \) from both sides:

\[
10x - 7x + 15 = -3
\]

This simplifies to:

\[
3x + 15 = -3
\]

Now, we subtract 15 from both sides:

\[
3x = -3 - 15
\]

This simplifies to:

\[
3x = -18
\]

Finally, we divide both sides by 3:

\[
x = \frac{-18}{3} = -6
\]

So, the solution is:

\[
\boxed{-6}
\]

Related Questions