Solve -17=-12+10/x-4

$$-17=-12+ \frac{ 10 }{ x-4 }$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Variable x cannot be equal to 4 since division by zero is not defined. Multiply both sides of the equation by x-4.

$$-17\left(x-4\right)=\left(x-4\right)\left(-12\right)+10$$

Use the distributive property to multiply -17 by x-4.

$$-17x+68=\left(x-4\right)\left(-12\right)+10$$

Use the distributive property to multiply x-4 by -12.

$$-17x+68=-12x+48+10$$

Add 48 and 10 to get 58.

$$-17x+68=-12x+58$$

Add 12x to both sides.

$$-17x+68+12x=58$$

Combine -17x and 12x to get -5x.

$$-5x+68=58$$

Subtract 68 from both sides.

$$-5x=58-68$$

Subtract 68 from 58 to get -10.

$$-5x=-10$$

Divide both sides by -5.

$$x=\frac{-10}{-5}$$

Divide -10 by -5 to get 2.

$$x=2$$