Solve -5(3x-9)=2(x-17)-57

$$- 5 ( 3 x - 9 ) = 2 ( x - 17 ) - 57$$

Solve for x

$$x=8$$

Steps for Solving Linear Equation

Use the distributive property to multiply -5 by 3x-9.

$$-15x+45=2\left(x-17\right)-57$$

Use the distributive property to multiply 2 by x-17.

$$-15x+45=2x-34-57$$

Subtract 57 from -34 to get -91.

$$-15x+45=2x-91$$

Subtract 2x from both sides.

$$-15x+45-2x=-91$$

Combine -15x and -2x to get -17x.

$$-17x+45=-91$$

Subtract 45 from both sides.

$$-17x=-91-45$$

Subtract 45 from -91 to get -136.

$$-17x=-136$$

Divide both sides by -17.

$$x=\frac{-136}{-17}$$

Divide -136 by -17 to get 8.

$$x=8$$