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

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

Solve for x

$$x=-2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 3,-4.

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

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

$$4x+20=-3\left(x-2\right)$$

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

$$4x+20=-3x+6$$

Add 3x to both sides.

$$4x+20+3x=6$$

Combine 4x and 3x to get 7x.

$$7x+20=6$$

Subtract 20 from both sides.

$$7x=6-20$$

Subtract 20 from 6 to get -14.

$$7x=-14$$

Divide both sides by 7.

$$x=\frac{-14}{7}$$

Divide -14 by 7 to get -2.

$$x=-2$$