Solve 5(3x+4)-8(6x-7)=9x-8

$$5 ( 3 x + 4 ) - 8 ( 6 x - 7 ) = 9 x - 8$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by 3x+4.

$$15x+20-8\left(6x-7\right)=9x-8$$

Use the distributive property to multiply -8 by 6x-7.

$$15x+20-48x+56=9x-8$$

Combine 15x and -48x to get -33x.

$$-33x+20+56=9x-8$$

Add 20 and 56 to get 76.

$$-33x+76=9x-8$$

Subtract 9x from both sides.

$$-33x+76-9x=-8$$

Combine -33x and -9x to get -42x.

$$-42x+76=-8$$

Subtract 76 from both sides.

$$-42x=-8-76$$

Subtract 76 from -8 to get -84.

$$-42x=-84$$

Divide both sides by -42.

$$x=\frac{-84}{-42}$$

Divide -84 by -42 to get 2.

$$x=2$$