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

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


Simplifying
3(1 + -6x) + -9(1 + -2x) = -2x + 5x
(1 * 3 + -6x * 3) + -9(1 + -2x) = -2x + 5x
(3 + -18x) + -9(1 + -2x) = -2x + 5x
3 + -18x + (1 * -9 + -2x * -9) = -2x + 5x
3 + -18x + (-9 + 18x) = -2x + 5x

Reorder the terms:
3 + -9 + -18x + 18x = -2x + 5x

Combine like terms: 3 + -9 = -6
-6 + -18x + 18x = -2x + 5x

Combine like terms: -18x + 18x = 0
-6 + 0 = -2x + 5x
-6 = -2x + 5x

Combine like terms: -2x + 5x = 3x
-6 = 3x

Solving
-6 = 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-6 + -3x = 3x + -3x

Combine like terms: 3x + -3x = 0
-6 + -3x = 0

Add '6' to each side of the equation.
-6 + 6 + -3x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -3x = 0 + 6
-3x = 0 + 6

Combine like terms: 0 + 6 = 6
-3x = 6

Divide each side by '-3'.
x = -2

Simplifying
x = -2

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