3x+17=9x-7

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Solution for 3x+17=9x-7 equation:


Simplifying
3x + 17 = 9x + -7

Reorder the terms:
17 + 3x = 9x + -7

Reorder the terms:
17 + 3x = -7 + 9x

Solving
17 + 3x = -7 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
17 + 3x + -9x = -7 + 9x + -9x

Combine like terms: 3x + -9x = -6x
17 + -6x = -7 + 9x + -9x

Combine like terms: 9x + -9x = 0
17 + -6x = -7 + 0
17 + -6x = -7

Add '-17' to each side of the equation.
17 + -17 + -6x = -7 + -17

Combine like terms: 17 + -17 = 0
0 + -6x = -7 + -17
-6x = -7 + -17

Combine like terms: -7 + -17 = -24
-6x = -24

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

Simplifying
x = 4

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