-4x-2(3x-2)=-13x+13

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Solution for -4x-2(3x-2)=-13x+13 equation:


Simplifying
-4x + -2(3x + -2) = -13x + 13

Reorder the terms:
-4x + -2(-2 + 3x) = -13x + 13
-4x + (-2 * -2 + 3x * -2) = -13x + 13
-4x + (4 + -6x) = -13x + 13

Reorder the terms:
4 + -4x + -6x = -13x + 13

Combine like terms: -4x + -6x = -10x
4 + -10x = -13x + 13

Reorder the terms:
4 + -10x = 13 + -13x

Solving
4 + -10x = 13 + -13x

Solving for variable 'x'.

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

Add '13x' to each side of the equation.
4 + -10x + 13x = 13 + -13x + 13x

Combine like terms: -10x + 13x = 3x
4 + 3x = 13 + -13x + 13x

Combine like terms: -13x + 13x = 0
4 + 3x = 13 + 0
4 + 3x = 13

Add '-4' to each side of the equation.
4 + -4 + 3x = 13 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = 13 + -4
3x = 13 + -4

Combine like terms: 13 + -4 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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