(3x-3)+2(4x+6)=6x-1

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Solution for (3x-3)+2(4x+6)=6x-1 equation:


Simplifying
(3x + -3) + 2(4x + 6) = 6x + -1

Reorder the terms:
(-3 + 3x) + 2(4x + 6) = 6x + -1

Remove parenthesis around (-3 + 3x)
-3 + 3x + 2(4x + 6) = 6x + -1

Reorder the terms:
-3 + 3x + 2(6 + 4x) = 6x + -1
-3 + 3x + (6 * 2 + 4x * 2) = 6x + -1
-3 + 3x + (12 + 8x) = 6x + -1

Reorder the terms:
-3 + 12 + 3x + 8x = 6x + -1

Combine like terms: -3 + 12 = 9
9 + 3x + 8x = 6x + -1

Combine like terms: 3x + 8x = 11x
9 + 11x = 6x + -1

Reorder the terms:
9 + 11x = -1 + 6x

Solving
9 + 11x = -1 + 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.
9 + 11x + -6x = -1 + 6x + -6x

Combine like terms: 11x + -6x = 5x
9 + 5x = -1 + 6x + -6x

Combine like terms: 6x + -6x = 0
9 + 5x = -1 + 0
9 + 5x = -1

Add '-9' to each side of the equation.
9 + -9 + 5x = -1 + -9

Combine like terms: 9 + -9 = 0
0 + 5x = -1 + -9
5x = -1 + -9

Combine like terms: -1 + -9 = -10
5x = -10

Divide each side by '5'.
x = -2

Simplifying
x = -2

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