x+(x+5)+(x-20)=120

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Solution for x+(x+5)+(x-20)=120 equation:


Simplifying
x + (x + 5) + (x + -20) = 120

Reorder the terms:
x + (5 + x) + (x + -20) = 120

Remove parenthesis around (5 + x)
x + 5 + x + (x + -20) = 120

Reorder the terms:
x + 5 + x + (-20 + x) = 120

Remove parenthesis around (-20 + x)
x + 5 + x + -20 + x = 120

Reorder the terms:
5 + -20 + x + x + x = 120

Combine like terms: 5 + -20 = -15
-15 + x + x + x = 120

Combine like terms: x + x = 2x
-15 + 2x + x = 120

Combine like terms: 2x + x = 3x
-15 + 3x = 120

Solving
-15 + 3x = 120

Solving for variable 'x'.

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

Add '15' to each side of the equation.
-15 + 15 + 3x = 120 + 15

Combine like terms: -15 + 15 = 0
0 + 3x = 120 + 15
3x = 120 + 15

Combine like terms: 120 + 15 = 135
3x = 135

Divide each side by '3'.
x = 45

Simplifying
x = 45

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