2x+4=9x-17

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Solution for 2x+4=9x-17 equation:


Simplifying
2x + 4 = 9x + -17

Reorder the terms:
4 + 2x = 9x + -17

Reorder the terms:
4 + 2x = -17 + 9x

Solving
4 + 2x = -17 + 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.
4 + 2x + -9x = -17 + 9x + -9x

Combine like terms: 2x + -9x = -7x
4 + -7x = -17 + 9x + -9x

Combine like terms: 9x + -9x = 0
4 + -7x = -17 + 0
4 + -7x = -17

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

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

Combine like terms: -17 + -4 = -21
-7x = -21

Divide each side by '-7'.
x = 3

Simplifying
x = 3

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