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

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


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

Reorder the terms:
4x + -22(-4 + x) = -2 + 5x + -2
4x + (-4 * -22 + x * -22) = -2 + 5x + -2
4x + (88 + -22x) = -2 + 5x + -2

Reorder the terms:
88 + 4x + -22x = -2 + 5x + -2

Combine like terms: 4x + -22x = -18x
88 + -18x = -2 + 5x + -2

Reorder the terms:
88 + -18x = -2 + -2 + 5x

Combine like terms: -2 + -2 = -4
88 + -18x = -4 + 5x

Solving
88 + -18x = -4 + 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.
88 + -18x + -5x = -4 + 5x + -5x

Combine like terms: -18x + -5x = -23x
88 + -23x = -4 + 5x + -5x

Combine like terms: 5x + -5x = 0
88 + -23x = -4 + 0
88 + -23x = -4

Add '-88' to each side of the equation.
88 + -88 + -23x = -4 + -88

Combine like terms: 88 + -88 = 0
0 + -23x = -4 + -88
-23x = -4 + -88

Combine like terms: -4 + -88 = -92
-23x = -92

Divide each side by '-23'.
x = 4

Simplifying
x = 4

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