Solve for x in simplest form.

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

\[ \boxed{5}. \]

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)

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

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