(6x-17)+(4x+5)=180

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Solution for (6x-17)+(4x+5)=180 equation:


Simplifying
(6x + -17) + (4x + 5) = 180

Reorder the terms:
(-17 + 6x) + (4x + 5) = 180

Remove parenthesis around (-17 + 6x)
-17 + 6x + (4x + 5) = 180

Reorder the terms:
-17 + 6x + (5 + 4x) = 180

Remove parenthesis around (5 + 4x)
-17 + 6x + 5 + 4x = 180

Reorder the terms:
-17 + 5 + 6x + 4x = 180

Combine like terms: -17 + 5 = -12
-12 + 6x + 4x = 180

Combine like terms: 6x + 4x = 10x
-12 + 10x = 180

Solving
-12 + 10x = 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 + 10x = 180 + 12

Combine like terms: -12 + 12 = 0
0 + 10x = 180 + 12
10x = 180 + 12

Combine like terms: 180 + 12 = 192
10x = 192

Divide each side by '10'.
x = 19.2

Simplifying
x = 19.2

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