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

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


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

Reorder the terms:
2x + -4(-3 + x) = -2 + 3x + -11
2x + (-3 * -4 + x * -4) = -2 + 3x + -11
2x + (12 + -4x) = -2 + 3x + -11

Reorder the terms:
12 + 2x + -4x = -2 + 3x + -11

Combine like terms: 2x + -4x = -2x
12 + -2x = -2 + 3x + -11

Reorder the terms:
12 + -2x = -2 + -11 + 3x

Combine like terms: -2 + -11 = -13
12 + -2x = -13 + 3x

Solving
12 + -2x = -13 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
12 + -2x + -3x = -13 + 3x + -3x

Combine like terms: -2x + -3x = -5x
12 + -5x = -13 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + -5x = -13 + 0
12 + -5x = -13

Add '-12' to each side of the equation.
12 + -12 + -5x = -13 + -12

Combine like terms: 12 + -12 = 0
0 + -5x = -13 + -12
-5x = -13 + -12

Combine like terms: -13 + -12 = -25
-5x = -25

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

Simplifying
x = 5

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