Solve 6(5x-4)=3(8-x)+18

$$6 ( 5 x - 4 ) = 3 ( 8 - x ) + 18$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by 5x-4.

$$30x-24=3\left(8-x\right)+18$$

Use the distributive property to multiply 3 by 8-x.

$$30x-24=24-3x+18$$

Add 24 and 18 to get 42.

$$30x-24=42-3x$$

Add 3x to both sides.

$$30x-24+3x=42$$

Combine 30x and 3x to get 33x.

$$33x-24=42$$

Add 24 to both sides.

$$33x=42+24$$

Add 42 and 24 to get 66.

$$33x=66$$

Divide both sides by 33.

$$x=\frac{66}{33}$$

Divide 66 by 33 to get 2.

$$x=2$$