-6(x-2x)+9=-4(3x-x)+4+13x

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Solution for -6(x-2x)+9=-4(3x-x)+4+13x equation:


Simplifying
-6(x + -2x) + 9 = -4(3x + -1x) + 4 + 13x

Combine like terms: x + -2x = -1x
-6(-1x) + 9 = -4(3x + -1x) + 4 + 13x

Remove parenthesis around (-1x)
-6 * -1x + 9 = -4(3x + -1x) + 4 + 13x

Multiply -6 * -1
6x + 9 = -4(3x + -1x) + 4 + 13x

Reorder the terms:
9 + 6x = -4(3x + -1x) + 4 + 13x

Combine like terms: 3x + -1x = 2x
9 + 6x = -4(2x) + 4 + 13x

Remove parenthesis around (2x)
9 + 6x = -4 * 2x + 4 + 13x

Multiply -4 * 2
9 + 6x = -8x + 4 + 13x

Reorder the terms:
9 + 6x = 4 + -8x + 13x

Combine like terms: -8x + 13x = 5x
9 + 6x = 4 + 5x

Solving
9 + 6x = 4 + 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.
9 + 6x + -5x = 4 + 5x + -5x

Combine like terms: 6x + -5x = 1x
9 + 1x = 4 + 5x + -5x

Combine like terms: 5x + -5x = 0
9 + 1x = 4 + 0
9 + 1x = 4

Add '-9' to each side of the equation.
9 + -9 + 1x = 4 + -9

Combine like terms: 9 + -9 = 0
0 + 1x = 4 + -9
1x = 4 + -9

Combine like terms: 4 + -9 = -5
1x = -5

Divide each side by '1'.
x = -5

Simplifying
x = -5

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