3x+10=12x-14

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Solution for 3x+10=12x-14 equation:


Simplifying
3x + 10 = 12x + -14

Reorder the terms:
10 + 3x = 12x + -14

Reorder the terms:
10 + 3x = -14 + 12x

Solving
10 + 3x = -14 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
10 + 3x + -12x = -14 + 12x + -12x

Combine like terms: 3x + -12x = -9x
10 + -9x = -14 + 12x + -12x

Combine like terms: 12x + -12x = 0
10 + -9x = -14 + 0
10 + -9x = -14

Add '-10' to each side of the equation.
10 + -10 + -9x = -14 + -10

Combine like terms: 10 + -10 = 0
0 + -9x = -14 + -10
-9x = -14 + -10

Combine like terms: -14 + -10 = -24
-9x = -24

Divide each side by '-9'.
x = 2.666666667

Simplifying
x = 2.666666667

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