(180-x)+(90-x)=114

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Solution for (180-x)+(90-x)=114 equation:


Simplifying
(180 + -1x) + (90 + -1x) = 114

Remove parenthesis around (180 + -1x)
180 + -1x + (90 + -1x) = 114

Remove parenthesis around (90 + -1x)
180 + -1x + 90 + -1x = 114

Reorder the terms:
180 + 90 + -1x + -1x = 114

Combine like terms: 180 + 90 = 270
270 + -1x + -1x = 114

Combine like terms: -1x + -1x = -2x
270 + -2x = 114

Solving
270 + -2x = 114

Solving for variable 'x'.

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

Add '-270' to each side of the equation.
270 + -270 + -2x = 114 + -270

Combine like terms: 270 + -270 = 0
0 + -2x = 114 + -270
-2x = 114 + -270

Combine like terms: 114 + -270 = -156
-2x = -156

Divide each side by '-2'.
x = 78

Simplifying
x = 78

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