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

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


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

Remove parenthesis around (8 + -1x)
5x + 8 + -1x = 6(x + -5) + -22

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

Combine like terms: 5x + -1x = 4x
8 + 4x = 6(x + -5) + -22

Reorder the terms:
8 + 4x = 6(-5 + x) + -22
8 + 4x = (-5 * 6 + x * 6) + -22
8 + 4x = (-30 + 6x) + -22

Reorder the terms:
8 + 4x = -30 + -22 + 6x

Combine like terms: -30 + -22 = -52
8 + 4x = -52 + 6x

Solving
8 + 4x = -52 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
8 + 4x + -6x = -52 + 6x + -6x

Combine like terms: 4x + -6x = -2x
8 + -2x = -52 + 6x + -6x

Combine like terms: 6x + -6x = 0
8 + -2x = -52 + 0
8 + -2x = -52

Add '-8' to each side of the equation.
8 + -8 + -2x = -52 + -8

Combine like terms: 8 + -8 = 0
0 + -2x = -52 + -8
-2x = -52 + -8

Combine like terms: -52 + -8 = -60
-2x = -60

Divide each side by '-2'.
x = 30

Simplifying
x = 30

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