(75-x)=(x+5)

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Solution for (75-x)=(x+5) equation:


Simplifying
(75 + -1x) = (x + 5)

Remove parenthesis around (75 + -1x)
75 + -1x = (x + 5)

Reorder the terms:
75 + -1x = (5 + x)

Remove parenthesis around (5 + x)
75 + -1x = 5 + x

Solving
75 + -1x = 5 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
75 + -1x + -1x = 5 + x + -1x

Combine like terms: -1x + -1x = -2x
75 + -2x = 5 + x + -1x

Combine like terms: x + -1x = 0
75 + -2x = 5 + 0
75 + -2x = 5

Add '-75' to each side of the equation.
75 + -75 + -2x = 5 + -75

Combine like terms: 75 + -75 = 0
0 + -2x = 5 + -75
-2x = 5 + -75

Combine like terms: 5 + -75 = -70
-2x = -70

Divide each side by '-2'.
x = 35

Simplifying
x = 35

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