90+(x+7)=(7x-5)

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Solution for 90+(x+7)=(7x-5) equation:


Simplifying
90 + (x + 7) = (7x + -5)

Reorder the terms:
90 + (7 + x) = (7x + -5)

Remove parenthesis around (7 + x)
90 + 7 + x = (7x + -5)

Combine like terms: 90 + 7 = 97
97 + x = (7x + -5)

Reorder the terms:
97 + x = (-5 + 7x)

Remove parenthesis around (-5 + 7x)
97 + x = -5 + 7x

Solving
97 + x = -5 + 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.
97 + x + -7x = -5 + 7x + -7x

Combine like terms: x + -7x = -6x
97 + -6x = -5 + 7x + -7x

Combine like terms: 7x + -7x = 0
97 + -6x = -5 + 0
97 + -6x = -5

Add '-97' to each side of the equation.
97 + -97 + -6x = -5 + -97

Combine like terms: 97 + -97 = 0
0 + -6x = -5 + -97
-6x = -5 + -97

Combine like terms: -5 + -97 = -102
-6x = -102

Divide each side by '-6'.
x = 17

Simplifying
x = 17

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