2x+6+7x-9=3x-6-2x+9

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Solution for 2x+6+7x-9=3x-6-2x+9 equation:


Simplifying
2x + 6 + 7x + -9 = 3x + -6 + -2x + 9

Reorder the terms:
6 + -9 + 2x + 7x = 3x + -6 + -2x + 9

Combine like terms: 6 + -9 = -3
-3 + 2x + 7x = 3x + -6 + -2x + 9

Combine like terms: 2x + 7x = 9x
-3 + 9x = 3x + -6 + -2x + 9

Reorder the terms:
-3 + 9x = -6 + 9 + 3x + -2x

Combine like terms: -6 + 9 = 3
-3 + 9x = 3 + 3x + -2x

Combine like terms: 3x + -2x = 1x
-3 + 9x = 3 + 1x

Solving
-3 + 9x = 3 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-3 + 9x + -1x = 3 + 1x + -1x

Combine like terms: 9x + -1x = 8x
-3 + 8x = 3 + 1x + -1x

Combine like terms: 1x + -1x = 0
-3 + 8x = 3 + 0
-3 + 8x = 3

Add '3' to each side of the equation.
-3 + 3 + 8x = 3 + 3

Combine like terms: -3 + 3 = 0
0 + 8x = 3 + 3
8x = 3 + 3

Combine like terms: 3 + 3 = 6
8x = 6

Divide each side by '8'.
x = 0.75

Simplifying
x = 0.75

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