15x-5=12x+16

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Solution for 15x-5=12x+16 equation:


Simplifying
15x + -5 = 12x + 16

Reorder the terms:
-5 + 15x = 12x + 16

Reorder the terms:
-5 + 15x = 16 + 12x

Solving
-5 + 15x = 16 + 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.
-5 + 15x + -12x = 16 + 12x + -12x

Combine like terms: 15x + -12x = 3x
-5 + 3x = 16 + 12x + -12x

Combine like terms: 12x + -12x = 0
-5 + 3x = 16 + 0
-5 + 3x = 16

Add '5' to each side of the equation.
-5 + 5 + 3x = 16 + 5

Combine like terms: -5 + 5 = 0
0 + 3x = 16 + 5
3x = 16 + 5

Combine like terms: 16 + 5 = 21
3x = 21

Divide each side by '3'.
x = 7

Simplifying
x = 7

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