(84-x)=(7x+61)

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Solution for (84-x)=(7x+61) equation:


Simplifying
(84 + -1x) = (7x + 61)

Remove parenthesis around (84 + -1x)
84 + -1x = (7x + 61)

Reorder the terms:
84 + -1x = (61 + 7x)

Remove parenthesis around (61 + 7x)
84 + -1x = 61 + 7x

Solving
84 + -1x = 61 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
84 + -1x + -7x = 61 + 7x + -7x

Combine like terms: -1x + -7x = -8x
84 + -8x = 61 + 7x + -7x

Combine like terms: 7x + -7x = 0
84 + -8x = 61 + 0
84 + -8x = 61

Add '-84' to each side of the equation.
84 + -84 + -8x = 61 + -84

Combine like terms: 84 + -84 = 0
0 + -8x = 61 + -84
-8x = 61 + -84

Combine like terms: 61 + -84 = -23
-8x = -23

Divide each side by '-8'.
x = 2.875

Simplifying
x = 2.875

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