3x+10=9x-2

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Solution for 3x+10=9x-2 equation:


Simplifying
3x + 10 = 9x + -2

Reorder the terms:
10 + 3x = 9x + -2

Reorder the terms:
10 + 3x = -2 + 9x

Solving
10 + 3x = -2 + 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.
10 + 3x + -9x = -2 + 9x + -9x

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

Combine like terms: 9x + -9x = 0
10 + -6x = -2 + 0
10 + -6x = -2

Add '-10' to each side of the equation.
10 + -10 + -6x = -2 + -10

Combine like terms: 10 + -10 = 0
0 + -6x = -2 + -10
-6x = -2 + -10

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

Divide each side by '-6'.
x = 2

Simplifying
x = 2

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