Solve 5(2x-3)+3(5x-6)+13=8(3x+7)-63

$$5 ( 2 x - 3 ) + 3 ( 5 x - 6 ) + 13 = 8 ( 3 x + 7 ) - 63$$

Solve for x

$$x=13$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by 2x-3.

$$10x-15+3\left(5x-6\right)+13=8\left(3x+7\right)-63$$

Use the distributive property to multiply 3 by 5x-6.

$$10x-15+15x-18+13=8\left(3x+7\right)-63$$

Combine 10x and 15x to get 25x.

$$25x-15-18+13=8\left(3x+7\right)-63$$

Subtract 18 from -15 to get -33.

$$25x-33+13=8\left(3x+7\right)-63$$

Add -33 and 13 to get -20.

$$25x-20=8\left(3x+7\right)-63$$

Use the distributive property to multiply 8 by 3x+7.

$$25x-20=24x+56-63$$

Subtract 63 from 56 to get -7.

$$25x-20=24x-7$$

Subtract 24x from both sides.

$$25x-20-24x=-7$$

Combine 25x and -24x to get x.

$$x-20=-7$$

Add 20 to both sides.

$$x=-7+20$$

Add -7 and 20 to get 13.

$$x=13$$