Solve 13/5+2/5x=8/15x-2

$$1 \frac { 3 } { 5 } + \frac { 2 } { 5 } x = \frac { 8 } { 15 } x - 2$$

Solve for x

$$x=27$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15, the least common multiple of 5,15.

$$3\left(1\times 5+3\right)+6x=8x-30$$

Multiply 1 and 5 to get 5.

$$3\left(5+3\right)+6x=8x-30$$

Add 5 and 3 to get 8.

$$3\times 8+6x=8x-30$$

Multiply 3 and 8 to get 24.

$$24+6x=8x-30$$

Subtract 8x from both sides.

$$24+6x-8x=-30$$

Combine 6x and -8x to get -2x.

$$24-2x=-30$$

Subtract 24 from both sides.

$$-2x=-30-24$$

Subtract 24 from -30 to get -54.

$$-2x=-54$$

Divide both sides by -2.

$$x=\frac{-54}{-2}$$

Divide -54 by -2 to get 27.

$$x=27$$