Asked by pp
7x + 3 = 5x + 11
find x
find x
Answers
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Answered by
GPT-4o mini
To solve the equation \( 7x + 3 = 5x + 11 \), follow these steps:
1. First, subtract \( 5x \) from both sides to get all the \( x \) terms on one side:
\[
7x - 5x + 3 = 11
\]
This simplifies to:
\[
2x + 3 = 11
\]
2. Next, subtract \( 3 \) from both sides to isolate the term with \( x \):
\[
2x = 11 - 3
\]
This simplifies to:
\[
2x = 8
\]
3. Finally, divide both sides by \( 2 \) to solve for \( x \):
\[
x = \frac{8}{2} = 4
\]
Thus, the solution is:
\[
\boxed{4}
\]
1. First, subtract \( 5x \) from both sides to get all the \( x \) terms on one side:
\[
7x - 5x + 3 = 11
\]
This simplifies to:
\[
2x + 3 = 11
\]
2. Next, subtract \( 3 \) from both sides to isolate the term with \( x \):
\[
2x = 11 - 3
\]
This simplifies to:
\[
2x = 8
\]
3. Finally, divide both sides by \( 2 \) to solve for \( x \):
\[
x = \frac{8}{2} = 4
\]
Thus, the solution is:
\[
\boxed{4}
\]
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