Solve 6(x+2)=8(2x-1)

$$6 ( x + 2 ) = 8 ( 2 x - 1 )$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

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

$$6x+12=8\left(2x-1\right)$$

Use the distributive property to multiply 8 by 2x-1.

$$6x+12=16x-8$$

Subtract 16x from both sides.

$$6x+12-16x=-8$$

Combine 6x and -16x to get -10x.

$$-10x+12=-8$$

Subtract 12 from both sides.

$$-10x=-8-12$$

Subtract 12 from -8 to get -20.

$$-10x=-20$$

Divide both sides by -10.

$$x=\frac{-20}{-10}$$

Divide -20 by -10 to get 2.

$$x=2$$