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

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

Solve for x

$$x = \frac{27}{7} = 3\frac{6}{7} \approx 3.857142857$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by x+3.

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

Use the distributive property to multiply 8 by 2x-6.

$$2x+6=16x-48$$

Subtract 16x from both sides.

$$2x+6-16x=-48$$

Combine 2x and -16x to get -14x.

$$-14x+6=-48$$

Subtract 6 from both sides.

$$-14x=-48-6$$

Subtract 6 from -48 to get -54.

$$-14x=-54$$

Divide both sides by -14.

$$x=\frac{-54}{-14}$$

Reduce the fraction \frac{-54}{-14} to lowest terms by extracting and canceling out -2.

$$x=\frac{27}{7}$$