3x-30=-6(6-x)

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Solution for 3x-30=-6(6-x) equation:


Simplifying
3x + -30 = -6(6 + -1x)

Reorder the terms:
-30 + 3x = -6(6 + -1x)
-30 + 3x = (6 * -6 + -1x * -6)
-30 + 3x = (-36 + 6x)

Solving
-30 + 3x = -36 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-30 + 3x + -6x = -36 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-30 + -3x = -36 + 6x + -6x

Combine like terms: 6x + -6x = 0
-30 + -3x = -36 + 0
-30 + -3x = -36

Add '30' to each side of the equation.
-30 + 30 + -3x = -36 + 30

Combine like terms: -30 + 30 = 0
0 + -3x = -36 + 30
-3x = -36 + 30

Combine like terms: -36 + 30 = -6
-3x = -6

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

Simplifying
x = 2

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