Solve 6(x+2)=8(x-3)

$$6 ( x + 2 ) = 8 ( x - 3 )$$

Solve for x

$$x=18$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by x+2.

$$6x+12=8\left(x-3\right)$$

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

$$6x+12=8x-24$$

Subtract 8x from both sides.

$$6x+12-8x=-24$$

Combine 6x and -8x to get -2x.

$$-2x+12=-24$$

Subtract 12 from both sides.

$$-2x=-24-12$$

Subtract 12 from -24 to get -36.

$$-2x=-36$$

Divide both sides by -2.

$$x=\frac{-36}{-2}$$

Divide -36 by -2 to get 18.

$$x=18$$