x+(x+1)+(x-22)=180

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Solution for x+(x+1)+(x-22)=180 equation:


Simplifying
x + (x + 1) + (x + -22) = 180

Reorder the terms:
x + (1 + x) + (x + -22) = 180

Remove parenthesis around (1 + x)
x + 1 + x + (x + -22) = 180

Reorder the terms:
x + 1 + x + (-22 + x) = 180

Remove parenthesis around (-22 + x)
x + 1 + x + -22 + x = 180

Reorder the terms:
1 + -22 + x + x + x = 180

Combine like terms: 1 + -22 = -21
-21 + x + x + x = 180

Combine like terms: x + x = 2x
-21 + 2x + x = 180

Combine like terms: 2x + x = 3x
-21 + 3x = 180

Solving
-21 + 3x = 180

Solving for variable 'x'.

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

Add '21' to each side of the equation.
-21 + 21 + 3x = 180 + 21

Combine like terms: -21 + 21 = 0
0 + 3x = 180 + 21
3x = 180 + 21

Combine like terms: 180 + 21 = 201
3x = 201

Divide each side by '3'.
x = 67

Simplifying
x = 67

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