(x+40)-(20-x)=180

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Solution for (x+40)-(20-x)=180 equation:


Simplifying
(x + 40) + -1(20 + -1x) = 180

Reorder the terms:
(40 + x) + -1(20 + -1x) = 180

Remove parenthesis around (40 + x)
40 + x + -1(20 + -1x) = 180
40 + x + (20 * -1 + -1x * -1) = 180
40 + x + (-20 + 1x) = 180

Reorder the terms:
40 + -20 + x + 1x = 180

Combine like terms: 40 + -20 = 20
20 + x + 1x = 180

Combine like terms: x + 1x = 2x
20 + 2x = 180

Solving
20 + 2x = 180

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + -20 + 2x = 180 + -20

Combine like terms: 20 + -20 = 0
0 + 2x = 180 + -20
2x = 180 + -20

Combine like terms: 180 + -20 = 160
2x = 160

Divide each side by '2'.
x = 80

Simplifying
x = 80

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