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

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


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

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

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

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

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

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

Reorder the terms:
11 + 3x = -1 + x

Solving
11 + 3x = -1 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
11 + 3x + -1x = -1 + x + -1x

Combine like terms: 3x + -1x = 2x
11 + 2x = -1 + x + -1x

Combine like terms: x + -1x = 0
11 + 2x = -1 + 0
11 + 2x = -1

Add '-11' to each side of the equation.
11 + -11 + 2x = -1 + -11

Combine like terms: 11 + -11 = 0
0 + 2x = -1 + -11
2x = -1 + -11

Combine like terms: -1 + -11 = -12
2x = -12

Divide each side by '2'.
x = -6

Simplifying
x = -6

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