-6(x-2x)+4=-2(5x-x)+1+13x

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Solution for -6(x-2x)+4=-2(5x-x)+1+13x equation:


Simplifying
-6(x + -2x) + 4 = -2(5x + -1x) + 1 + 13x

Combine like terms: x + -2x = -1x
-6(-1x) + 4 = -2(5x + -1x) + 1 + 13x

Remove parenthesis around (-1x)
-6 * -1x + 4 = -2(5x + -1x) + 1 + 13x

Multiply -6 * -1
6x + 4 = -2(5x + -1x) + 1 + 13x

Reorder the terms:
4 + 6x = -2(5x + -1x) + 1 + 13x

Combine like terms: 5x + -1x = 4x
4 + 6x = -2(4x) + 1 + 13x

Remove parenthesis around (4x)
4 + 6x = -2 * 4x + 1 + 13x

Multiply -2 * 4
4 + 6x = -8x + 1 + 13x

Reorder the terms:
4 + 6x = 1 + -8x + 13x

Combine like terms: -8x + 13x = 5x
4 + 6x = 1 + 5x

Solving
4 + 6x = 1 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
4 + 6x + -5x = 1 + 5x + -5x

Combine like terms: 6x + -5x = 1x
4 + 1x = 1 + 5x + -5x

Combine like terms: 5x + -5x = 0
4 + 1x = 1 + 0
4 + 1x = 1

Add '-4' to each side of the equation.
4 + -4 + 1x = 1 + -4

Combine like terms: 4 + -4 = 0
0 + 1x = 1 + -4
1x = 1 + -4

Combine like terms: 1 + -4 = -3
1x = -3

Divide each side by '1'.
x = -3

Simplifying
x = -3

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