Solve 2(4x+2)-8=4(x+3)

$$2 ( 4 x + 2 ) - 8 = 4 ( x + 3 )$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 4x+2.

$$8x+4-8=4\left(x+3\right)$$

Subtract 8 from 4 to get -4.

$$8x-4=4\left(x+3\right)$$

Use the distributive property to multiply 4 by x+3.

$$8x-4=4x+12$$

Subtract 4x from both sides.

$$8x-4-4x=12$$

Combine 8x and -4x to get 4x.

$$4x-4=12$$

Add 4 to both sides.

$$4x=12+4$$

Add 12 and 4 to get 16.

$$4x=16$$

Divide both sides by 4.

$$x=\frac{16}{4}$$

Divide 16 by 4 to get 4.

$$x=4$$