3x+9=7x-17

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


Simplifying
3x + 9 = 7x + -17

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

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

Solving
9 + 3x = -17 + 7x

Solving for variable 'x'.

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

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

Combine like terms: 3x + -7x = -4x
9 + -4x = -17 + 7x + -7x

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

Add '-9' to each side of the equation.
9 + -9 + -4x = -17 + -9

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

Combine like terms: -17 + -9 = -26
-4x = -26

Divide each side by '-4'.
x = 6.5

Simplifying
x = 6.5

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