3x+12=16x-14

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Solution for 3x+12=16x-14 equation:


Simplifying
3x + 12 = 16x + -14

Reorder the terms:
12 + 3x = 16x + -14

Reorder the terms:
12 + 3x = -14 + 16x

Solving
12 + 3x = -14 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
12 + 3x + -16x = -14 + 16x + -16x

Combine like terms: 3x + -16x = -13x
12 + -13x = -14 + 16x + -16x

Combine like terms: 16x + -16x = 0
12 + -13x = -14 + 0
12 + -13x = -14

Add '-12' to each side of the equation.
12 + -12 + -13x = -14 + -12

Combine like terms: 12 + -12 = 0
0 + -13x = -14 + -12
-13x = -14 + -12

Combine like terms: -14 + -12 = -26
-13x = -26

Divide each side by '-13'.
x = 2

Simplifying
x = 2

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