2(x+1)=-4(x+2)+22

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Solution for 2(x+1)=-4(x+2)+22 equation: 


Simplifying
2(x + 1) = -4(x + 2) + 22

Reorder the terms:
2(1 + x) = -4(x + 2) + 22
(1 * 2 + x * 2) = -4(x + 2) + 22
(2 + 2x) = -4(x + 2) + 22

Reorder the terms:
2 + 2x = -4(2 + x) + 22
2 + 2x = (2 * -4 + x * -4) + 22
2 + 2x = (-8 + -4x) + 22

Reorder the terms:
2 + 2x = -8 + 22 + -4x

Combine like terms: -8 + 22 = 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 = 6x
2 + 6x = 14 + -4x + 4x

Combine like terms: -4x + 4x = 0
2 + 6x = 14 + 0
2 + 6x = 14

Add '-2' to each side of the equation.
2 + -2 + 6x = 14 + -2

Combine like terms: 2 + -2 = 0
0 + 6x = 14 + -2
6x = 14 + -2

Combine like terms: 14 + -2 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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