(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 = -36
-36 + 6x + 7x = 96

Combine like terms: 6x + 7x = 13x
-36 + 13x = 96

Solving
-36 + 13x = 96

Solving for variable 'x'.

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

Add '36' to each side of the equation.
-36 + 36 + 13x = 96 + 36

Combine like terms: -36 + 36 = 0
0 + 13x = 96 + 36
13x = 96 + 36

Combine like terms: 96 + 36 = 132
13x = 132

Divide each side by '13'.
x = 10.15384615

Simplifying
x = 10.15384615

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