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

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

Solve for x

$$x=-11$$

Steps for Solving Linear Equation

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

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

Use the distributive property to multiply 5 by x+2.

$$5x+10=3\left(x-4\right)$$

Use the distributive property to multiply 3 by x-4.

$$5x+10=3x-12$$

Subtract 3x from both sides.

$$5x+10-3x=-12$$

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

$$2x+10=-12$$

Subtract 10 from both sides.

$$2x=-12-10$$

Subtract 10 from -12 to get -22.

$$2x=-22$$

Divide both sides by 2.

$$x=\frac{-22}{2}$$

Divide -22 by 2 to get -11.

$$x=-11$$