5(x+7)=96-x

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Solution for 5(x+7)=96-x equation:


Simplifying
5(x + 7) = 96 + -1x

Reorder the terms:
5(7 + x) = 96 + -1x
(7 * 5 + x * 5) = 96 + -1x
(35 + 5x) = 96 + -1x

Solving
35 + 5x = 96 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
35 + 5x + x = 96 + -1x + x

Combine like terms: 5x + x = 6x
35 + 6x = 96 + -1x + x

Combine like terms: -1x + x = 0
35 + 6x = 96 + 0
35 + 6x = 96

Add '-35' to each side of the equation.
35 + -35 + 6x = 96 + -35

Combine like terms: 35 + -35 = 0
0 + 6x = 96 + -35
6x = 96 + -35

Combine like terms: 96 + -35 = 61
6x = 61

Divide each side by '6'.
x = 10.16666667

Simplifying
x = 10.16666667

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