x+2x-9+3x-4-5x=6(2x-1)

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Solution for x+2x-9+3x-4-5x=6(2x-1) equation:


Simplifying
x + 2x + -9 + 3x + -4 + -5x = 6(2x + -1)

Reorder the terms:
-9 + -4 + x + 2x + 3x + -5x = 6(2x + -1)

Combine like terms: -9 + -4 = -13
-13 + x + 2x + 3x + -5x = 6(2x + -1)

Combine like terms: x + 2x = 3x
-13 + 3x + 3x + -5x = 6(2x + -1)

Combine like terms: 3x + 3x = 6x
-13 + 6x + -5x = 6(2x + -1)

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

Reorder the terms:
-13 + 1x = 6(-1 + 2x)
-13 + 1x = (-1 * 6 + 2x * 6)
-13 + 1x = (-6 + 12x)

Solving
-13 + 1x = -6 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-13 + 1x + -12x = -6 + 12x + -12x

Combine like terms: 1x + -12x = -11x
-13 + -11x = -6 + 12x + -12x

Combine like terms: 12x + -12x = 0
-13 + -11x = -6 + 0
-13 + -11x = -6

Add '13' to each side of the equation.
-13 + 13 + -11x = -6 + 13

Combine like terms: -13 + 13 = 0
0 + -11x = -6 + 13
-11x = -6 + 13

Combine like terms: -6 + 13 = 7
-11x = 7

Divide each side by '-11'.
x = -0.6363636364

Simplifying
x = -0.6363636364

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