x+2-4(x+1)=5x+22

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Solution for x+2-4(x+1)=5x+22 equation: 


Simplifying
x + 2 + -4(x + 1) = 5x + 22

Reorder the terms:
x + 2 + -4(1 + x) = 5x + 22
x + 2 + (1 * -4 + x * -4) = 5x + 22
x + 2 + (-4 + -4x) = 5x + 22

Reorder the terms:
2 + -4 + x + -4x = 5x + 22

Combine like terms: 2 + -4 = -2
-2 + x + -4x = 5x + 22

Combine like terms: x + -4x = -3x
-2 + -3x = 5x + 22

Reorder the terms:
-2 + -3x = 22 + 5x

Solving
-2 + -3x = 22 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-2 + -3x + -5x = 22 + 5x + -5x

Combine like terms: -3x + -5x = -8x
-2 + -8x = 22 + 5x + -5x

Combine like terms: 5x + -5x = 0
-2 + -8x = 22 + 0
-2 + -8x = 22

Add '2' to each side of the equation.
-2 + 2 + -8x = 22 + 2

Combine like terms: -2 + 2 = 0
0 + -8x = 22 + 2
-8x = 22 + 2

Combine like terms: 22 + 2 = 24
-8x = 24

Divide each side by '-8'.
x = -3

Simplifying
x = -3

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