Asked by GOJO OR SUKUNA
Solve this equation for x:
5(2x + 3) = 7x - 3
5(2x + 3) = 7x - 3
Answers
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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:
\[
\boxed{-6}
\]
\[
5 \cdot 2x + 5 \cdot 3 = 7x - 3
\]
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:
\[
\boxed{-6}
\]
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