2(6x+1)-8(x-1)=-22

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Solution for 2(6x+1)-8(x-1)=-22 equation: 


Simplifying
2(6x + 1) + -8(x + -1) = -22

Reorder the terms:
2(1 + 6x) + -8(x + -1) = -22
(1 * 2 + 6x * 2) + -8(x + -1) = -22
(2 + 12x) + -8(x + -1) = -22

Reorder the terms:
2 + 12x + -8(-1 + x) = -22
2 + 12x + (-1 * -8 + x * -8) = -22
2 + 12x + (8 + -8x) = -22

Reorder the terms:
2 + 8 + 12x + -8x = -22

Combine like terms: 2 + 8 = 10
10 + 12x + -8x = -22

Combine like terms: 12x + -8x = 4x
10 + 4x = -22

Solving
10 + 4x = -22

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 4x = -22 + -10

Combine like terms: 10 + -10 = 0
0 + 4x = -22 + -10
4x = -22 + -10

Combine like terms: -22 + -10 = -32
4x = -32

Divide each side by '4'.
x = -8

Simplifying
x = -8

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