3-6x=5(x-6)

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Solution for 3-6x=5(x-6) equation:


Simplifying
3 + -6x = 5(x + -6)

Reorder the terms:
3 + -6x = 5(-6 + x)
3 + -6x = (-6 * 5 + x * 5)
3 + -6x = (-30 + 5x)

Solving
3 + -6x = -30 + 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.
3 + -6x + -5x = -30 + 5x + -5x

Combine like terms: -6x + -5x = -11x
3 + -11x = -30 + 5x + -5x

Combine like terms: 5x + -5x = 0
3 + -11x = -30 + 0
3 + -11x = -30

Add '-3' to each side of the equation.
3 + -3 + -11x = -30 + -3

Combine like terms: 3 + -3 = 0
0 + -11x = -30 + -3
-11x = -30 + -3

Combine like terms: -30 + -3 = -33
-11x = -33

Divide each side by '-11'.
x = 3

Simplifying
x = 3

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