Solve -15-5*(2x-8)=59-4*(3x-2)

$$- 15 - 5 \cdot ( 2 x - 8 ) = 59 - 4 \cdot ( 3 x - 2 )$$

Solve for x

$$x=21$$

Steps for Solving Linear Equation

Use the distributive property to multiply -5 by 2x-8.

$$-15-10x+40=59-4\left(3x-2\right)$$

Add -15 and 40 to get 25.

$$25-10x=59-4\left(3x-2\right)$$

Use the distributive property to multiply -4 by 3x-2.

$$25-10x=59-12x+8$$

Add 59 and 8 to get 67.

$$25-10x=67-12x$$

Add 12x to both sides.

$$25-10x+12x=67$$

Combine -10x and 12x to get 2x.

$$25+2x=67$$

Subtract 25 from both sides.

$$2x=67-25$$

Subtract 25 from 67 to get 42.

$$2x=42$$

Divide both sides by 2.

$$x=\frac{42}{2}$$

Divide 42 by 2 to get 21.

$$x=21$$