Solve x+2/5=x-4/3

$$\frac { x + 2 } { 5 } = \frac { x - 4 } { 3 }$$

Solve for x

$$x=13$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15, the least common multiple of 5,3.

$$3\left(x+2\right)=5\left(x-4\right)$$

Use the distributive property to multiply 3 by x+2.

$$3x+6=5\left(x-4\right)$$

Use the distributive property to multiply 5 by x-4.

$$3x+6=5x-20$$

Subtract 5x from both sides.

$$3x+6-5x=-20$$

Combine 3x and -5x to get -2x.

$$-2x+6=-20$$

Subtract 6 from both sides.

$$-2x=-20-6$$

Subtract 6 from -20 to get -26.

$$-2x=-26$$

Divide both sides by -2.

$$x=\frac{-26}{-2}$$

Divide -26 by -2 to get 13.

$$x=13$$