12x+5=16x-7

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Solution for 12x+5=16x-7 equation:


Simplifying
12x + 5 = 16x + -7

Reorder the terms:
5 + 12x = 16x + -7

Reorder the terms:
5 + 12x = -7 + 16x

Solving
5 + 12x = -7 + 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.
5 + 12x + -16x = -7 + 16x + -16x

Combine like terms: 12x + -16x = -4x
5 + -4x = -7 + 16x + -16x

Combine like terms: 16x + -16x = 0
5 + -4x = -7 + 0
5 + -4x = -7

Add '-5' to each side of the equation.
5 + -5 + -4x = -7 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = -7 + -5
-4x = -7 + -5

Combine like terms: -7 + -5 = -12
-4x = -12

Divide each side by '-4'.
x = 3

Simplifying
x = 3

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