Question
Solve Equations with Variables on Both Sides Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
1 of 51 of 5 Items
Question
Solve for x
: 8x−5=3x+20
.(1 point)
x=
Complete this assessment to review what you've learned. It will not count toward your grade.
1 of 51 of 5 Items
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:
\[
\boxed{5}
\]
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:
\[
\boxed{5}
\]