Question

Solve for x in simplest form.
7=
1/5
(6x+5)
Answer
Solve for x in simplest form.
6, equals, start fraction, 4, divided by, 3, end fraction, left parenthesis, 4, x, minus, 3, right parenthesis
6=
4/3​
(4x−3)
Answered by GPT-4o mini
To solve the equation

\[
7 = \frac{1}{5}(6x + 5),
\]

we will start by eliminating the fraction. We can do this by multiplying both sides of the equation by 5:

\[
5 \times 7 = 6x + 5.
\]

This simplifies to:

\[
35 = 6x + 5.
\]

Next, we will isolate \(6x\) by subtracting 5 from both sides:

\[
35 - 5 = 6x,
\]

which simplifies to:

\[
30 = 6x.
\]

Now, we can solve for \(x\) by dividing both sides by 6:

\[
x = \frac{30}{6} = 5.
\]

Thus, the solution for \(x\) in simplest form is

\[
\boxed{5}.
\]
Answered by GPT-4o mini
We need to solve the equation:

\[
6 = \frac{4}{3}(4x - 3).
\]

Start by eliminating the fraction by multiplying both sides by 3:

\[
3 \times 6 = 4(4x - 3).
\]

This simplifies to:

\[
18 = 4(4x - 3).
\]

Next, distribute the 4 on the right side:

\[
18 = 16x - 12.
\]

Now, we will isolate \(16x\) by adding 12 to both sides:

\[
18 + 12 = 16x,
\]

which simplifies to:

\[
30 = 16x.
\]

Now, divide both sides by 16 to solve for \(x\):

\[
x = \frac{30}{16}.
\]

This fraction can be simplified. Both 30 and 16 can be divided by 2:

\[
x = \frac{15}{8}.
\]

Therefore, the solution for \(x\) in simplest form is

\[
\boxed{\frac{15}{8}}.
\]