(4x-7)+(6x-9)+116=180

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Solution for (4x-7)+(6x-9)+116=180 equation:


Simplifying
(4x + -7) + (6x + -9) + 116 = 180

Reorder the terms:
(-7 + 4x) + (6x + -9) + 116 = 180

Remove parenthesis around (-7 + 4x)
-7 + 4x + (6x + -9) + 116 = 180

Reorder the terms:
-7 + 4x + (-9 + 6x) + 116 = 180

Remove parenthesis around (-9 + 6x)
-7 + 4x + -9 + 6x + 116 = 180

Reorder the terms:
-7 + -9 + 116 + 4x + 6x = 180

Combine like terms: -7 + -9 = -16
-16 + 116 + 4x + 6x = 180

Combine like terms: -16 + 116 = 100
100 + 4x + 6x = 180

Combine like terms: 4x + 6x = 10x
100 + 10x = 180

Solving
100 + 10x = 180

Solving for variable 'x'.

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

Add '-100' to each side of the equation.
100 + -100 + 10x = 180 + -100

Combine like terms: 100 + -100 = 0
0 + 10x = 180 + -100
10x = 180 + -100

Combine like terms: 180 + -100 = 80
10x = 80

Divide each side by '10'.
x = 8

Simplifying
x = 8

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