4x-(2x-2)+2(3-4x)=-5

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Solution for 4x-(2x-2)+2(3-4x)=-5 equation:


Simplifying
4x + -1(2x + -2) + 2(3 + -4x) = -5

Reorder the terms:
4x + -1(-2 + 2x) + 2(3 + -4x) = -5
4x + (-2 * -1 + 2x * -1) + 2(3 + -4x) = -5
4x + (2 + -2x) + 2(3 + -4x) = -5
4x + 2 + -2x + (3 * 2 + -4x * 2) = -5
4x + 2 + -2x + (6 + -8x) = -5

Reorder the terms:
2 + 6 + 4x + -2x + -8x = -5

Combine like terms: 2 + 6 = 8
8 + 4x + -2x + -8x = -5

Combine like terms: 4x + -2x = 2x
8 + 2x + -8x = -5

Combine like terms: 2x + -8x = -6x
8 + -6x = -5

Solving
8 + -6x = -5

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + -6x = -5 + -8

Combine like terms: 8 + -8 = 0
0 + -6x = -5 + -8
-6x = -5 + -8

Combine like terms: -5 + -8 = -13
-6x = -13

Divide each side by '-6'.
x = 2.166666667

Simplifying
x = 2.166666667

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