(47-x)+(5x-3)=180

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Solution for (47-x)+(5x-3)=180 equation:


Simplifying
(47 + -1x) + (5x + -3) = 180

Remove parenthesis around (47 + -1x)
47 + -1x + (5x + -3) = 180

Reorder the terms:
47 + -1x + (-3 + 5x) = 180

Remove parenthesis around (-3 + 5x)
47 + -1x + -3 + 5x = 180

Reorder the terms:
47 + -3 + -1x + 5x = 180

Combine like terms: 47 + -3 = 44
44 + -1x + 5x = 180

Combine like terms: -1x + 5x = 4x
44 + 4x = 180

Solving
44 + 4x = 180

Solving for variable 'x'.

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

Add '-44' to each side of the equation.
44 + -44 + 4x = 180 + -44

Combine like terms: 44 + -44 = 0
0 + 4x = 180 + -44
4x = 180 + -44

Combine like terms: 180 + -44 = 136
4x = 136

Divide each side by '4'.
x = 34

Simplifying
x = 34

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