9x-10-5x+12=x+6-3x+10

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Solution for 9x-10-5x+12=x+6-3x+10 equation:


Simplifying
9x + -10 + -5x + 12 = x + 6 + -3x + 10

Reorder the terms:
-10 + 12 + 9x + -5x = x + 6 + -3x + 10

Combine like terms: -10 + 12 = 2
2 + 9x + -5x = x + 6 + -3x + 10

Combine like terms: 9x + -5x = 4x
2 + 4x = x + 6 + -3x + 10

Reorder the terms:
2 + 4x = 6 + 10 + x + -3x

Combine like terms: 6 + 10 = 16
2 + 4x = 16 + x + -3x

Combine like terms: x + -3x = -2x
2 + 4x = 16 + -2x

Solving
2 + 4x = 16 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
2 + 4x + 2x = 16 + -2x + 2x

Combine like terms: 4x + 2x = 6x
2 + 6x = 16 + -2x + 2x

Combine like terms: -2x + 2x = 0
2 + 6x = 16 + 0
2 + 6x = 16

Add '-2' to each side of the equation.
2 + -2 + 6x = 16 + -2

Combine like terms: 2 + -2 = 0
0 + 6x = 16 + -2
6x = 16 + -2

Combine like terms: 16 + -2 = 14
6x = 14

Divide each side by '6'.
x = 2.333333333

Simplifying
x = 2.333333333

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