Solve x-7/-4=14-x/8

$$\frac { x - 7 } { - 4 } = \frac { 14 - x } { 8 }$$

Solve for x

$$x=0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 8, the least common multiple of -4,8.

$$-2\left(x-7\right)=14-x$$

Use the distributive property to multiply -2 by x-7.

$$-2x+14=14-x$$

Add x to both sides.

$$-2x+14+x=14$$

Combine -2x and x to get -x.

$$-x+14=14$$

Subtract 14 from both sides.

$$-x=14-14$$

Subtract 14 from 14 to get 0.

$$-x=0$$

Product of two numbers is equal to 0 if at least one of them is 0. Since -1 is not equal to 0, x must be equal to 0.

$$x=0$$