16x-4x+9=2(6x-1)+x

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Solution for 16x-4x+9=2(6x-1)+x equation:


Simplifying
16x + -4x + 9 = 2(6x + -1) + x

Reorder the terms:
9 + 16x + -4x = 2(6x + -1) + x

Combine like terms: 16x + -4x = 12x
9 + 12x = 2(6x + -1) + x

Reorder the terms:
9 + 12x = 2(-1 + 6x) + x
9 + 12x = (-1 * 2 + 6x * 2) + x
9 + 12x = (-2 + 12x) + x

Combine like terms: 12x + x = 13x
9 + 12x = -2 + 13x

Solving
9 + 12x = -2 + 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.
9 + 12x + -13x = -2 + 13x + -13x

Combine like terms: 12x + -13x = -1x
9 + -1x = -2 + 13x + -13x

Combine like terms: 13x + -13x = 0
9 + -1x = -2 + 0
9 + -1x = -2

Add '-9' to each side of the equation.
9 + -9 + -1x = -2 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = -2 + -9
-1x = -2 + -9

Combine like terms: -2 + -9 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11

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