(3x-6)+(4x+5)+(2x-4)=180

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Solution for (3x-6)+(4x+5)+(2x-4)=180 equation:


Simplifying
(3x + -6) + (4x + 5) + (2x + -4) = 180

Reorder the terms:
(-6 + 3x) + (4x + 5) + (2x + -4) = 180

Remove parenthesis around (-6 + 3x)
-6 + 3x + (4x + 5) + (2x + -4) = 180

Reorder the terms:
-6 + 3x + (5 + 4x) + (2x + -4) = 180

Remove parenthesis around (5 + 4x)
-6 + 3x + 5 + 4x + (2x + -4) = 180

Reorder the terms:
-6 + 3x + 5 + 4x + (-4 + 2x) = 180

Remove parenthesis around (-4 + 2x)
-6 + 3x + 5 + 4x + -4 + 2x = 180

Reorder the terms:
-6 + 5 + -4 + 3x + 4x + 2x = 180

Combine like terms: -6 + 5 = -1
-1 + -4 + 3x + 4x + 2x = 180

Combine like terms: -1 + -4 = -5
-5 + 3x + 4x + 2x = 180

Combine like terms: 3x + 4x = 7x
-5 + 7x + 2x = 180

Combine like terms: 7x + 2x = 9x
-5 + 9x = 180

Solving
-5 + 9x = 180

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 9x = 180 + 5

Combine like terms: -5 + 5 = 0
0 + 9x = 180 + 5
9x = 180 + 5

Combine like terms: 180 + 5 = 185
9x = 185

Divide each side by '9'.
x = 20.55555556

Simplifying
x = 20.55555556

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