(3x+17)-(2x-20)=x

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Solution for (3x+17)-(2x-20)=x equation:


Simplifying
(3x + 17) + -1(2x + -20) = x

Reorder the terms:
(17 + 3x) + -1(2x + -20) = x

Remove parenthesis around (17 + 3x)
17 + 3x + -1(2x + -20) = x

Reorder the terms:
17 + 3x + -1(-20 + 2x) = x
17 + 3x + (-20 * -1 + 2x * -1) = x
17 + 3x + (20 + -2x) = x

Reorder the terms:
17 + 20 + 3x + -2x = x

Combine like terms: 17 + 20 = 37
37 + 3x + -2x = x

Combine like terms: 3x + -2x = 1x
37 + 1x = x

Solving
37 + 1x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
37 + 1x + -1x = x + -1x

Combine like terms: 1x + -1x = 0
37 + 0 = x + -1x
37 = x + -1x

Combine like terms: x + -1x = 0
37 = 0

Add '-37' to each side of the equation.
37 + -37 = 0 + -37

Combine like terms: 37 + -37 = 0
0 = 0 + -37

Combine like terms: 0 + -37 = -37
0 = -37

Simplifying
0 = -37

Combine like terms: 0 + 37 = 37
37 = -37 + 37

Combine like terms: -37 + 37 = 0
37 = 0

The solution to this equation could not be determined.

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