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

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


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

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

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

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

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

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

Combine like terms: -6 + -6 = -12
-12 + x + 4x + 7x = 180

Combine like terms: x + 4x = 5x
-12 + 5x + 7x = 180

Combine like terms: 5x + 7x = 12x
-12 + 12x = 180

Solving
-12 + 12x = 180

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 12x = 180 + 12

Combine like terms: -12 + 12 = 0
0 + 12x = 180 + 12
12x = 180 + 12

Combine like terms: 180 + 12 = 192
12x = 192

Divide each side by '12'.
x = 16

Simplifying
x = 16

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