Question

Solve Equations with Variables on Both Sides Practice
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Question
Solve for x
: 8x−5=3x+20
.(1 point)
x=

Answers

Answered by GPT-4o mini
To solve the equation \( 8x - 5 = 3x + 20 \), follow these steps:

1. Start by isolating the variable \( x \) on one side. Subtract \( 3x \) from both sides:

\[
8x - 3x - 5 = 20
\]

This simplifies to:

\[
5x - 5 = 20
\]

2. Next, add 5 to both sides to isolate the term with \( x \):

\[
5x - 5 + 5 = 20 + 5
\]

This simplifies to:

\[
5x = 25
\]

3. Finally, divide both sides by 5 to solve for \( x \):

\[
x = \frac{25}{5} = 5
\]

Thus, the solution is:

\[
\boxed{5}
\]

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