(4x-5)+(2x+17)=180

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Solution for (4x-5)+(2x+17)=180 equation:


Simplifying
(4x + -5) + (2x + 17) = 180

Reorder the terms:
(-5 + 4x) + (2x + 17) = 180

Remove parenthesis around (-5 + 4x)
-5 + 4x + (2x + 17) = 180

Reorder the terms:
-5 + 4x + (17 + 2x) = 180

Remove parenthesis around (17 + 2x)
-5 + 4x + 17 + 2x = 180

Reorder the terms:
-5 + 17 + 4x + 2x = 180

Combine like terms: -5 + 17 = 12
12 + 4x + 2x = 180

Combine like terms: 4x + 2x = 6x
12 + 6x = 180

Solving
12 + 6x = 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 + 6x = 180 + -12

Combine like terms: 12 + -12 = 0
0 + 6x = 180 + -12
6x = 180 + -12

Combine like terms: 180 + -12 = 168
6x = 168

Divide each side by '6'.
x = 28

Simplifying
x = 28

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