2x+17-x=7+4x-5

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Solution for 2x+17-x=7+4x-5 equation:


Simplifying
2x + 17 + -1x = 7 + 4x + -5

Reorder the terms:
17 + 2x + -1x = 7 + 4x + -5

Combine like terms: 2x + -1x = 1x
17 + 1x = 7 + 4x + -5

Reorder the terms:
17 + 1x = 7 + -5 + 4x

Combine like terms: 7 + -5 = 2
17 + 1x = 2 + 4x

Solving
17 + 1x = 2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
17 + 1x + -4x = 2 + 4x + -4x

Combine like terms: 1x + -4x = -3x
17 + -3x = 2 + 4x + -4x

Combine like terms: 4x + -4x = 0
17 + -3x = 2 + 0
17 + -3x = 2

Add '-17' to each side of the equation.
17 + -17 + -3x = 2 + -17

Combine like terms: 17 + -17 = 0
0 + -3x = 2 + -17
-3x = 2 + -17

Combine like terms: 2 + -17 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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