Solve x-8/5+8/5=-x/3

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

Solve for x

$$x=0$$

Steps for Solving Linear Equation

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

$$3\left(x-8\right)+24=5\left(-x\right)$$

Use the distributive property to multiply 3 by x-8.

$$3x-24+24=5\left(-x\right)$$

Add -24 and 24 to get 0.

$$3x=5\left(-x\right)$$

Subtract 5\left(-x\right) from both sides.

$$3x-5\left(-x\right)=0$$

Multiply -1 and 5 to get -5.

$$3x-5\left(-1\right)x=0$$

Multiply -5 and -1 to get 5.

$$3x+5x=0$$

Combine 3x and 5x to get 8x.

$$8x=0$$

Product of two numbers is equal to 0 if at least one of them is 0. Since 8 is not equal to 0, x must be equal to 0.

$$x=0$$