3x-2(x-1)=-3+4x+11

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Solution for 3x-2(x-1)=-3+4x+11 equation:


Simplifying
3x + -2(x + -1) = -3 + 4x + 11

Reorder the terms:
3x + -2(-1 + x) = -3 + 4x + 11
3x + (-1 * -2 + x * -2) = -3 + 4x + 11
3x + (2 + -2x) = -3 + 4x + 11

Reorder the terms:
2 + 3x + -2x = -3 + 4x + 11

Combine like terms: 3x + -2x = 1x
2 + 1x = -3 + 4x + 11

Reorder the terms:
2 + 1x = -3 + 11 + 4x

Combine like terms: -3 + 11 = 8
2 + 1x = 8 + 4x

Solving
2 + 1x = 8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
2 + 1x + -4x = 8 + 4x + -4x

Combine like terms: 1x + -4x = -3x
2 + -3x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
2 + -3x = 8 + 0
2 + -3x = 8

Add '-2' to each side of the equation.
2 + -2 + -3x = 8 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 8 + -2
-3x = 8 + -2

Combine like terms: 8 + -2 = 6
-3x = 6

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

Simplifying
x = -2

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