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

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


Simplifying
(2x + -6) + 3(2x + -6) + 0.5(2x + -6) + 5 = 180

Reorder the terms:
(-6 + 2x) + 3(2x + -6) + 0.5(2x + -6) + 5 = 180

Remove parenthesis around (-6 + 2x)
-6 + 2x + 3(2x + -6) + 0.5(2x + -6) + 5 = 180

Reorder the terms:
-6 + 2x + 3(-6 + 2x) + 0.5(2x + -6) + 5 = 180
-6 + 2x + (-6 * 3 + 2x * 3) + 0.5(2x + -6) + 5 = 180
-6 + 2x + (-18 + 6x) + 0.5(2x + -6) + 5 = 180

Reorder the terms:
-6 + 2x + -18 + 6x + 0.5(-6 + 2x) + 5 = 180
-6 + 2x + -18 + 6x + (-6 * 0.5 + 2x * 0.5) + 5 = 180
-6 + 2x + -18 + 6x + (-3 + 1x) + 5 = 180

Reorder the terms:
-6 + -18 + -3 + 5 + 2x + 6x + 1x = 180

Combine like terms: -6 + -18 = -24
-24 + -3 + 5 + 2x + 6x + 1x = 180

Combine like terms: -24 + -3 = -27
-27 + 5 + 2x + 6x + 1x = 180

Combine like terms: -27 + 5 = -22
-22 + 2x + 6x + 1x = 180

Combine like terms: 2x + 6x = 8x
-22 + 8x + 1x = 180

Combine like terms: 8x + 1x = 9x
-22 + 9x = 180

Solving
-22 + 9x = 180

Solving for variable 'x'.

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

Add '22' to each side of the equation.
-22 + 22 + 9x = 180 + 22

Combine like terms: -22 + 22 = 0
0 + 9x = 180 + 22
9x = 180 + 22

Combine like terms: 180 + 22 = 202
9x = 202

Divide each side by '9'.
x = 22.44444444

Simplifying
x = 22.44444444

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