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

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


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

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

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

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

Reorder the terms:
10 + -8x = 12 + 2x + -6x

Combine like terms: 2x + -6x = -4x
10 + -8x = 12 + -4x

Solving
10 + -8x = 12 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
10 + -8x + 4x = 12 + -4x + 4x

Combine like terms: -8x + 4x = -4x
10 + -4x = 12 + -4x + 4x

Combine like terms: -4x + 4x = 0
10 + -4x = 12 + 0
10 + -4x = 12

Add '-10' to each side of the equation.
10 + -10 + -4x = 12 + -10

Combine like terms: 10 + -10 = 0
0 + -4x = 12 + -10
-4x = 12 + -10

Combine like terms: 12 + -10 = 2
-4x = 2

Divide each side by '-4'.
x = -0.5

Simplifying
x = -0.5

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