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

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


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

Reorder the terms:
11(6 + -2x) = 3(2x + -2) + -4
(6 * 11 + -2x * 11) = 3(2x + -2) + -4
(66 + -22x) = 3(2x + -2) + -4

Reorder the terms:
66 + -22x = 3(-2 + 2x) + -4
66 + -22x = (-2 * 3 + 2x * 3) + -4
66 + -22x = (-6 + 6x) + -4

Reorder the terms:
66 + -22x = -6 + -4 + 6x

Combine like terms: -6 + -4 = -10
66 + -22x = -10 + 6x

Solving
66 + -22x = -10 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
66 + -22x + -6x = -10 + 6x + -6x

Combine like terms: -22x + -6x = -28x
66 + -28x = -10 + 6x + -6x

Combine like terms: 6x + -6x = 0
66 + -28x = -10 + 0
66 + -28x = -10

Add '-66' to each side of the equation.
66 + -66 + -28x = -10 + -66

Combine like terms: 66 + -66 = 0
0 + -28x = -10 + -66
-28x = -10 + -66

Combine like terms: -10 + -66 = -76
-28x = -76

Divide each side by '-28'.
x = 2.714285714

Simplifying
x = 2.714285714

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