3x+12=14x-21

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Solution for 3x+12=14x-21 equation:


Simplifying
3x + 12 = 14x + -21

Reorder the terms:
12 + 3x = 14x + -21

Reorder the terms:
12 + 3x = -21 + 14x

Solving
12 + 3x = -21 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
12 + 3x + -14x = -21 + 14x + -14x

Combine like terms: 3x + -14x = -11x
12 + -11x = -21 + 14x + -14x

Combine like terms: 14x + -14x = 0
12 + -11x = -21 + 0
12 + -11x = -21

Add '-12' to each side of the equation.
12 + -12 + -11x = -21 + -12

Combine like terms: 12 + -12 = 0
0 + -11x = -21 + -12
-11x = -21 + -12

Combine like terms: -21 + -12 = -33
-11x = -33

Divide each side by '-11'.
x = 3

Simplifying
x = 3

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