(180-x)=2(90-x)+47

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Solution for (180-x)=2(90-x)+47 equation:


Simplifying
(180 + -1x) = 2(90 + -1x) + 47

Remove parenthesis around (180 + -1x)
180 + -1x = 2(90 + -1x) + 47
180 + -1x = (90 * 2 + -1x * 2) + 47
180 + -1x = (180 + -2x) + 47

Reorder the terms:
180 + -1x = 180 + 47 + -2x

Combine like terms: 180 + 47 = 227
180 + -1x = 227 + -2x

Solving
180 + -1x = 227 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
180 + -1x + 2x = 227 + -2x + 2x

Combine like terms: -1x + 2x = 1x
180 + 1x = 227 + -2x + 2x

Combine like terms: -2x + 2x = 0
180 + 1x = 227 + 0
180 + 1x = 227

Add '-180' to each side of the equation.
180 + -180 + 1x = 227 + -180

Combine like terms: 180 + -180 = 0
0 + 1x = 227 + -180
1x = 227 + -180

Combine like terms: 227 + -180 = 47
1x = 47

Divide each side by '1'.
x = 47

Simplifying
x = 47

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