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

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Solution for 2(3-4x)+4=2-3(4-4x) equation:


Simplifying
2(3 + -4x) + 4 = 2 + -3(4 + -4x)
(3 * 2 + -4x * 2) + 4 = 2 + -3(4 + -4x)
(6 + -8x) + 4 = 2 + -3(4 + -4x)

Reorder the terms:
6 + 4 + -8x = 2 + -3(4 + -4x)

Combine like terms: 6 + 4 = 10
10 + -8x = 2 + -3(4 + -4x)
10 + -8x = 2 + (4 * -3 + -4x * -3)
10 + -8x = 2 + (-12 + 12x)

Combine like terms: 2 + -12 = -10
10 + -8x = -10 + 12x

Solving
10 + -8x = -10 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
10 + -8x + -12x = -10 + 12x + -12x

Combine like terms: -8x + -12x = -20x
10 + -20x = -10 + 12x + -12x

Combine like terms: 12x + -12x = 0
10 + -20x = -10 + 0
10 + -20x = -10

Add '-10' to each side of the equation.
10 + -10 + -20x = -10 + -10

Combine like terms: 10 + -10 = 0
0 + -20x = -10 + -10
-20x = -10 + -10

Combine like terms: -10 + -10 = -20
-20x = -20

Divide each side by '-20'.
x = 1

Simplifying
x = 1

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