Question

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

Answer 1

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

Reorder the terms:
4(3 + x) = 2x + -8
(3 * 4 + x * 4) = 2x + -8
(12 + 4x) = 2x + -8

Reorder the terms:
12 + 4x = -8 + 2x

Solving
12 + 4x = -8 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
12 + 4x + -2x = -8 + 2x + -2x

Combine like terms: 4x + -2x = 2x
12 + 2x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + 2x = -8 + 0
12 + 2x = -8

Add '-12' to each side of the equation.
12 + -12 + 2x = -8 + -12

Combine like terms: 12 + -12 = 0
0 + 2x = -8 + -12
2x = -8 + -12

Combine like terms: -8 + -12 = -20
2x = -20

Divide each side by '2'.
x = -10

Simplifying
x = -10

Answer 2

x=1

Explanation:

Step 1: Simplify both sides of the equation.

4x+4(3−2x)=8

4x+(4)(3)+(4)(−2x)=8(Distribute)

4x+12+−8x=8

(4x+−8x)+(12)=8(Combine Like Terms)

−4x+12=8

−4x+12=8

Step 2: Subtract 12 from both sides.

−4x+12−12=8−12

−4x=−4

Step 3: Divide both sides by -4.

-4x -4

/-4 = /-4