Solve for x 3x-8+4x-7=4x

$3 x - 8 + 4 x - 7 = 4 x$

Simplify $3 x - 8 + 4 x - 7$ .

Add $3 x$ and $4 x$ .

$7 x - 8 - 7 = 4 x$

Subtract $7$ from $- 8$ .

$7 x - 15 = 4 x$

Move all terms containing $x$ to the left side of the equation.

Subtract $4 x$ from both sides of the equation.

$7 x - 15 - 4 x = 0$

Subtract $4 x$ from $7 x$ .

$3 x - 15 = 0$

Add $15$ to both sides of the equation.

$3 x = 15$

Divide each term in $3 x = 15$ by $3$ and simplify.

Divide each term in $3 x = 15$ by $3$ .

$\frac{3 x}{3} = \frac{15}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} = \frac{15}{3}$

Divide $x$ by $1$ .

$x = \frac{15}{3}$

Simplify the right side.

Divide $15$ by $3$ .

$x = 5$