3x+7+(2x-5)=2x+5-(x-17)

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Solution for 3x+7+(2x-5)=2x+5-(x-17) equation:


Simplifying
3x + 7 + (2x + -5) = 2x + 5 + -1(x + -17)

Reorder the terms:
3x + 7 + (-5 + 2x) = 2x + 5 + -1(x + -17)

Remove parenthesis around (-5 + 2x)
3x + 7 + -5 + 2x = 2x + 5 + -1(x + -17)

Reorder the terms:
7 + -5 + 3x + 2x = 2x + 5 + -1(x + -17)

Combine like terms: 7 + -5 = 2
2 + 3x + 2x = 2x + 5 + -1(x + -17)

Combine like terms: 3x + 2x = 5x
2 + 5x = 2x + 5 + -1(x + -17)

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

Reorder the terms:
2 + 5x = 5 + 17 + 2x + -1x

Combine like terms: 5 + 17 = 22
2 + 5x = 22 + 2x + -1x

Combine like terms: 2x + -1x = 1x
2 + 5x = 22 + 1x

Solving
2 + 5x = 22 + 1x

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.
2 + 5x + -1x = 22 + 1x + -1x

Combine like terms: 5x + -1x = 4x
2 + 4x = 22 + 1x + -1x

Combine like terms: 1x + -1x = 0
2 + 4x = 22 + 0
2 + 4x = 22

Add '-2' to each side of the equation.
2 + -2 + 4x = 22 + -2

Combine like terms: 2 + -2 = 0
0 + 4x = 22 + -2
4x = 22 + -2

Combine like terms: 22 + -2 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5

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