(x-10)+(4x+32)=90

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Solution for (x-10)+(4x+32)=90 equation:


Simplifying
(x + -10) + (4x + 32) = 90

Reorder the terms:
(-10 + x) + (4x + 32) = 90

Remove parenthesis around (-10 + x)
-10 + x + (4x + 32) = 90

Reorder the terms:
-10 + x + (32 + 4x) = 90

Remove parenthesis around (32 + 4x)
-10 + x + 32 + 4x = 90

Reorder the terms:
-10 + 32 + x + 4x = 90

Combine like terms: -10 + 32 = 22
22 + x + 4x = 90

Combine like terms: x + 4x = 5x
22 + 5x = 90

Solving
22 + 5x = 90

Solving for variable 'x'.

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

Add '-22' to each side of the equation.
22 + -22 + 5x = 90 + -22

Combine like terms: 22 + -22 = 0
0 + 5x = 90 + -22
5x = 90 + -22

Combine like terms: 90 + -22 = 68
5x = 68

Divide each side by '5'.
x = 13.6

Simplifying
x = 13.6

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