(5x-22)+(x-10)=90

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Solution for (5x-22)+(x-10)=90 equation:


Simplifying
(5x + -22) + (x + -10) = 90

Reorder the terms:
(-22 + 5x) + (x + -10) = 90

Remove parenthesis around (-22 + 5x)
-22 + 5x + (x + -10) = 90

Reorder the terms:
-22 + 5x + (-10 + x) = 90

Remove parenthesis around (-10 + x)
-22 + 5x + -10 + x = 90

Reorder the terms:
-22 + -10 + 5x + x = 90

Combine like terms: -22 + -10 = -32
-32 + 5x + x = 90

Combine like terms: 5x + x = 6x
-32 + 6x = 90

Solving
-32 + 6x = 90

Solving for variable 'x'.

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

Add '32' to each side of the equation.
-32 + 32 + 6x = 90 + 32

Combine like terms: -32 + 32 = 0
0 + 6x = 90 + 32
6x = 90 + 32

Combine like terms: 90 + 32 = 122
6x = 122

Divide each side by '6'.
x = 20.33333333

Simplifying
x = 20.33333333

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