(2x+17)-(3x-5)=180

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Solution for (2x+17)-(3x-5)=180 equation:


Simplifying
(2x + 17) + -1(3x + -5) = 180

Reorder the terms:
(17 + 2x) + -1(3x + -5) = 180

Remove parenthesis around (17 + 2x)
17 + 2x + -1(3x + -5) = 180

Reorder the terms:
17 + 2x + -1(-5 + 3x) = 180
17 + 2x + (-5 * -1 + 3x * -1) = 180
17 + 2x + (5 + -3x) = 180

Reorder the terms:
17 + 5 + 2x + -3x = 180

Combine like terms: 17 + 5 = 22
22 + 2x + -3x = 180

Combine like terms: 2x + -3x = -1x
22 + -1x = 180

Solving
22 + -1x = 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 + -1x = 180 + -22

Combine like terms: 22 + -22 = 0
0 + -1x = 180 + -22
-1x = 180 + -22

Combine like terms: 180 + -22 = 158
-1x = 158

Divide each side by '-1'.
x = -158

Simplifying
x = -158

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