(3x-28)+(66-x)=90

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Solution for (3x-28)+(66-x)=90 equation:


Simplifying
(3x + -28) + (66 + -1x) = 90

Reorder the terms:
(-28 + 3x) + (66 + -1x) = 90

Remove parenthesis around (-28 + 3x)
-28 + 3x + (66 + -1x) = 90

Remove parenthesis around (66 + -1x)
-28 + 3x + 66 + -1x = 90

Reorder the terms:
-28 + 66 + 3x + -1x = 90

Combine like terms: -28 + 66 = 38
38 + 3x + -1x = 90

Combine like terms: 3x + -1x = 2x
38 + 2x = 90

Solving
38 + 2x = 90

Solving for variable 'x'.

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

Add '-38' to each side of the equation.
38 + -38 + 2x = 90 + -38

Combine like terms: 38 + -38 = 0
0 + 2x = 90 + -38
2x = 90 + -38

Combine like terms: 90 + -38 = 52
2x = 52

Divide each side by '2'.
x = 26

Simplifying
x = 26

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