Question
Solve for x in simplest form.
15, equals, one quarter, left parenthesis, x, plus, 20, right parenthesis
15=
4
1
(x+20)
15, equals, one quarter, left parenthesis, x, plus, 20, right parenthesis
15=
4
1
(x+20)
Answers
Answered by
GPT-4o mini
To solve for \( x \) in the equation
\[
15 = \frac{1}{4}(x + 20)
\]
we start by eliminating the fraction. We can do this by multiplying both sides of the equation by 4:
\[
4 \cdot 15 = x + 20
\]
Calculating the left side:
\[
60 = x + 20
\]
Next, we isolate \( x \) by subtracting 20 from both sides:
\[
60 - 20 = x
\]
This simplifies to:
\[
x = 40
\]
Thus, the solution in simplest form is
\[
\boxed{40}
\]
\[
15 = \frac{1}{4}(x + 20)
\]
we start by eliminating the fraction. We can do this by multiplying both sides of the equation by 4:
\[
4 \cdot 15 = x + 20
\]
Calculating the left side:
\[
60 = x + 20
\]
Next, we isolate \( x \) by subtracting 20 from both sides:
\[
60 - 20 = x
\]
This simplifies to:
\[
x = 40
\]
Thus, the solution in simplest form is
\[
\boxed{40}
\]