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

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


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

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

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

Reorder the terms:
30 + -3x = -6 + 3x

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

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

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

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

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

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

Divide each side by '-6'.
x = 6

Simplifying
x = 6

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