17-x=3x-7

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Solution for 17-x=3x-7 equation:


Simplifying
17 + -1x = 3x + -7

Reorder the terms:
17 + -1x = -7 + 3x

Solving
17 + -1x = -7 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
17 + -1x + -3x = -7 + 3x + -3x

Combine like terms: -1x + -3x = -4x
17 + -4x = -7 + 3x + -3x

Combine like terms: 3x + -3x = 0
17 + -4x = -7 + 0
17 + -4x = -7

Add '-17' to each side of the equation.
17 + -17 + -4x = -7 + -17

Combine like terms: 17 + -17 = 0
0 + -4x = -7 + -17
-4x = -7 + -17

Combine like terms: -7 + -17 = -24
-4x = -24

Divide each side by '-4'.
x = 6

Simplifying
x = 6

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