Solve -5(3x-15)=2(x-12)-3

$$- 5 ( 3 x - 15 ) = 2 ( x - 12 ) - 3$$

Solve for x

$$x=6$$

Steps for Solving Linear Equation

Use the distributive property to multiply -5 by 3x-15.

$$-15x+75=2\left(x-12\right)-3$$

Use the distributive property to multiply 2 by x-12.

$$-15x+75=2x-24-3$$

Subtract 3 from -24 to get -27.

$$-15x+75=2x-27$$

Subtract 2x from both sides.

$$-15x+75-2x=-27$$

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

$$-17x+75=-27$$

Subtract 75 from both sides.

$$-17x=-27-75$$

Subtract 75 from -27 to get -102.

$$-17x=-102$$

Divide both sides by -17.

$$x=\frac{-102}{-17}$$

Divide -102 by -17 to get 6.

$$x=6$$