Solve 13-5x-4/6=10x-8

$$13 - \frac { 5 x - 4 } { 6 } = 10 x - 8$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6.

$$78-\left(5x-4\right)=60x-48$$

To find the opposite of 5x-4, find the opposite of each term.

$$78-5x-\left(-4\right)=60x-48$$

The opposite of -4 is 4.

$$78-5x+4=60x-48$$

Add 78 and 4 to get 82.

$$82-5x=60x-48$$

Subtract 60x from both sides.

$$82-5x-60x=-48$$

Combine -5x and -60x to get -65x.

$$82-65x=-48$$

Subtract 82 from both sides.

$$-65x=-48-82$$

Subtract 82 from -48 to get -130.

$$-65x=-130$$

Divide both sides by -65.

$$x=\frac{-130}{-65}$$

Divide -130 by -65 to get 2.

$$x=2$$