Answer :
Answer:
x=1
Step-by-step 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
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
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