(6x+27)+(7x-9)=96

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Solution for (6x+27)+(7x-9)=96 equation:


Simplifying
(6x + 27) + (7x + -9) = 96

Reorder the terms:
(27 + 6x) + (7x + -9) = 96

Remove parenthesis around (27 + 6x)
27 + 6x + (7x + -9) = 96

Reorder the terms:
27 + 6x + (-9 + 7x) = 96

Remove parenthesis around (-9 + 7x)
27 + 6x + -9 + 7x = 96

Reorder the terms:
27 + -9 + 6x + 7x = 96

Combine like terms: 27 + -9 = 18
18 + 6x + 7x = 96

Combine like terms: 6x + 7x = 13x
18 + 13x = 96

Solving
18 + 13x = 96

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + 13x = 96 + -18

Combine like terms: 18 + -18 = 0
0 + 13x = 96 + -18
13x = 96 + -18

Combine like terms: 96 + -18 = 78
13x = 78

Divide each side by '13'.
x = 6

Simplifying
x = 6

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