22-(x+6)=5x-8

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Solution for 22-(x+6)=5x-8 equation:


Simplifying
22 + -1(x + 6) = 5x + -8

Reorder the terms:
22 + -1(6 + x) = 5x + -8
22 + (6 * -1 + x * -1) = 5x + -8
22 + (-6 + -1x) = 5x + -8

Combine like terms: 22 + -6 = 16
16 + -1x = 5x + -8

Reorder the terms:
16 + -1x = -8 + 5x

Solving
16 + -1x = -8 + 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.
16 + -1x + -5x = -8 + 5x + -5x

Combine like terms: -1x + -5x = -6x
16 + -6x = -8 + 5x + -5x

Combine like terms: 5x + -5x = 0
16 + -6x = -8 + 0
16 + -6x = -8

Add '-16' to each side of the equation.
16 + -16 + -6x = -8 + -16

Combine like terms: 16 + -16 = 0
0 + -6x = -8 + -16
-6x = -8 + -16

Combine like terms: -8 + -16 = -24
-6x = -24

Divide each side by '-6'.
x = 4

Simplifying
x = 4

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