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

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


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

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

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

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

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

Combine like terms: 3 + 11 = 14
2 + 2x = 14 + 4x

Solving
2 + 2x = 14 + 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 + 2x + -4x = 14 + 4x + -4x

Combine like terms: 2x + -4x = -2x
2 + -2x = 14 + 4x + -4x

Combine like terms: 4x + -4x = 0
2 + -2x = 14 + 0
2 + -2x = 14

Add '-2' to each side of the equation.
2 + -2 + -2x = 14 + -2

Combine like terms: 2 + -2 = 0
0 + -2x = 14 + -2
-2x = 14 + -2

Combine like terms: 14 + -2 = 12
-2x = 12

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

Simplifying
x = -6

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