2x+17-x=8+5x-7

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Solution for 2x+17-x=8+5x-7 equation:


Simplifying
2x + 17 + -1x = 8 + 5x + -7

Reorder the terms:
17 + 2x + -1x = 8 + 5x + -7

Combine like terms: 2x + -1x = 1x
17 + 1x = 8 + 5x + -7

Reorder the terms:
17 + 1x = 8 + -7 + 5x

Combine like terms: 8 + -7 = 1
17 + 1x = 1 + 5x

Solving
17 + 1x = 1 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
17 + 1x + -5x = 1 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
17 + -4x = 1 + 0
17 + -4x = 1

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

Combine like terms: 17 + -17 = 0
0 + -4x = 1 + -17
-4x = 1 + -17

Combine like terms: 1 + -17 = -16
-4x = -16

Divide each side by '-4'.
x = 4

Simplifying
x = 4

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