12x-14=8x+16

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Solution for 12x-14=8x+16 equation:


Simplifying
12x + -14 = 8x + 16

Reorder the terms:
-14 + 12x = 8x + 16

Reorder the terms:
-14 + 12x = 16 + 8x

Solving
-14 + 12x = 16 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-14 + 12x + -8x = 16 + 8x + -8x

Combine like terms: 12x + -8x = 4x
-14 + 4x = 16 + 8x + -8x

Combine like terms: 8x + -8x = 0
-14 + 4x = 16 + 0
-14 + 4x = 16

Add '14' to each side of the equation.
-14 + 14 + 4x = 16 + 14

Combine like terms: -14 + 14 = 0
0 + 4x = 16 + 14
4x = 16 + 14

Combine like terms: 16 + 14 = 30
4x = 30

Divide each side by '4'.
x = 7.5

Simplifying
x = 7.5

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