(7x-17)+(3x-20)=180

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Solution for (7x-17)+(3x-20)=180 equation:


Simplifying
(7x + -17) + (3x + -20) = 180

Reorder the terms:
(-17 + 7x) + (3x + -20) = 180

Remove parenthesis around (-17 + 7x)
-17 + 7x + (3x + -20) = 180

Reorder the terms:
-17 + 7x + (-20 + 3x) = 180

Remove parenthesis around (-20 + 3x)
-17 + 7x + -20 + 3x = 180

Reorder the terms:
-17 + -20 + 7x + 3x = 180

Combine like terms: -17 + -20 = -37
-37 + 7x + 3x = 180

Combine like terms: 7x + 3x = 10x
-37 + 10x = 180

Solving
-37 + 10x = 180

Solving for variable 'x'.

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

Add '37' to each side of the equation.
-37 + 37 + 10x = 180 + 37

Combine like terms: -37 + 37 = 0
0 + 10x = 180 + 37
10x = 180 + 37

Combine like terms: 180 + 37 = 217
10x = 217

Divide each side by '10'.
x = 21.7

Simplifying
x = 21.7

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