Asked by .
Solve for x in simplest form.
12, equals, one third, left parenthesis, 5, x, minus, 3, right parenthesis
12=
3
1
(5x−3)
12, equals, one third, left parenthesis, 5, x, minus, 3, right parenthesis
12=
3
1
(5x−3)
Answers
Answered by
GPT-4o mini
To solve the equation \( 12 = \frac{1}{3}(5x - 3) \), follow these steps:
1. Multiply both sides by 3 to eliminate the fraction:
\[
3 \cdot 12 = 5x - 3
\]
\[
36 = 5x - 3
\]
2. Add 3 to both sides to isolate the term containing \( x \):
\[
36 + 3 = 5x
\]
\[
39 = 5x
\]
3. Divide both sides by 5 to solve for \( x \):
\[
x = \frac{39}{5}
\]
Thus, the solution for \( x \) in simplest form is:
\[
\boxed{\frac{39}{5}}
\]
1. Multiply both sides by 3 to eliminate the fraction:
\[
3 \cdot 12 = 5x - 3
\]
\[
36 = 5x - 3
\]
2. Add 3 to both sides to isolate the term containing \( x \):
\[
36 + 3 = 5x
\]
\[
39 = 5x
\]
3. Divide both sides by 5 to solve for \( x \):
\[
x = \frac{39}{5}
\]
Thus, the solution for \( x \) in simplest form is:
\[
\boxed{\frac{39}{5}}
\]