6x-3=9x+7

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Solution for 6x-3=9x+7 equation:


Simplifying
6x + -3 = 9x + 7

Reorder the terms:
-3 + 6x = 9x + 7

Reorder the terms:
-3 + 6x = 7 + 9x

Solving
-3 + 6x = 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.
-3 + 6x + -9x = 7 + 9x + -9x

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

Combine like terms: 9x + -9x = 0
-3 + -3x = 7 + 0
-3 + -3x = 7

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

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

Combine like terms: 7 + 3 = 10
-3x = 10

Divide each side by '-3'.
x = -3.333333333

Simplifying
x = -3.333333333

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