7-2(3x-4)=5+11(6+2x)

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Solution for 7-2(3x-4)=5+11(6+2x) equation: 


Simplifying
7 + -2(3x + -4) = 5 + 11(6 + 2x)

Reorder the terms:
7 + -2(-4 + 3x) = 5 + 11(6 + 2x)
7 + (-4 * -2 + 3x * -2) = 5 + 11(6 + 2x)
7 + (8 + -6x) = 5 + 11(6 + 2x)

Combine like terms: 7 + 8 = 15
15 + -6x = 5 + 11(6 + 2x)
15 + -6x = 5 + (6 * 11 + 2x * 11)
15 + -6x = 5 + (66 + 22x)

Combine like terms: 5 + 66 = 71
15 + -6x = 71 + 22x

Solving
15 + -6x = 71 + 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
15 + -6x + -22x = 71 + 22x + -22x

Combine like terms: -6x + -22x = -28x
15 + -28x = 71 + 22x + -22x

Combine like terms: 22x + -22x = 0
15 + -28x = 71 + 0
15 + -28x = 71

Add '-15' to each side of the equation.
15 + -15 + -28x = 71 + -15

Combine like terms: 15 + -15 = 0
0 + -28x = 71 + -15
-28x = 71 + -15

Combine like terms: 71 + -15 = 56
-28x = 56

Divide each side by '-28'.
x = -2

Simplifying
x = -2

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