Solve 6(x-3)=10-2(x+2)

$$6 ( x - 3 ) = 10 - 2 ( x + 2 )$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

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

$$6x-18=10-2\left(x+2\right)$$

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

$$6x-18=10-2x-4$$

Subtract 4 from 10 to get 6.

$$6x-18=6-2x$$

Add 2x to both sides.

$$6x-18+2x=6$$

Combine 6x and 2x to get 8x.

$$8x-18=6$$

Add 18 to both sides.

$$8x=6+18$$

Add 6 and 18 to get 24.

$$8x=24$$

Divide both sides by 8.

$$x=\frac{24}{8}$$

Divide 24 by 8 to get 3.

$$x=3$$