2(3x-6)+(3x-14)+90=180

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Solution for 2(3x-6)+(3x-14)+90=180 equation:


Simplifying
2(3x + -6) + (3x + -14) + 90 = 180

Reorder the terms:
2(-6 + 3x) + (3x + -14) + 90 = 180
(-6 * 2 + 3x * 2) + (3x + -14) + 90 = 180
(-12 + 6x) + (3x + -14) + 90 = 180

Reorder the terms:
-12 + 6x + (-14 + 3x) + 90 = 180

Remove parenthesis around (-14 + 3x)
-12 + 6x + -14 + 3x + 90 = 180

Reorder the terms:
-12 + -14 + 90 + 6x + 3x = 180

Combine like terms: -12 + -14 = -26
-26 + 90 + 6x + 3x = 180

Combine like terms: -26 + 90 = 64
64 + 6x + 3x = 180

Combine like terms: 6x + 3x = 9x
64 + 9x = 180

Solving
64 + 9x = 180

Solving for variable 'x'.

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

Add '-64' to each side of the equation.
64 + -64 + 9x = 180 + -64

Combine like terms: 64 + -64 = 0
0 + 9x = 180 + -64
9x = 180 + -64

Combine like terms: 180 + -64 = 116
9x = 116

Divide each side by '9'.
x = 12.88888889

Simplifying
x = 12.88888889

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