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

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


Simplifying
6(x + -1) = -3(-2x) + 3x

Reorder the terms:
6(-1 + x) = -3(-2x) + 3x
(-1 * 6 + x * 6) = -3(-2x) + 3x
(-6 + 6x) = -3(-2x) + 3x

Remove parenthesis around (-2x)
-6 + 6x = -3 * -2x + 3x

Multiply -3 * -2
-6 + 6x = 6x + 3x

Combine like terms: 6x + 3x = 9x
-6 + 6x = 9x

Solving
-6 + 6x = 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-6 + 6x + -9x = 9x + -9x

Combine like terms: 6x + -9x = -3x
-6 + -3x = 9x + -9x

Combine like terms: 9x + -9x = 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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