12x+6=21x-15

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Solution for 12x+6=21x-15 equation:


Simplifying
12x + 6 = 21x + -15

Reorder the terms:
6 + 12x = 21x + -15

Reorder the terms:
6 + 12x = -15 + 21x

Solving
6 + 12x = -15 + 21x

Solving for variable 'x'.

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

Add '-21x' to each side of the equation.
6 + 12x + -21x = -15 + 21x + -21x

Combine like terms: 12x + -21x = -9x
6 + -9x = -15 + 21x + -21x

Combine like terms: 21x + -21x = 0
6 + -9x = -15 + 0
6 + -9x = -15

Add '-6' to each side of the equation.
6 + -6 + -9x = -15 + -6

Combine like terms: 6 + -6 = 0
0 + -9x = -15 + -6
-9x = -15 + -6

Combine like terms: -15 + -6 = -21
-9x = -21

Divide each side by '-9'.
x = 2.333333333

Simplifying
x = 2.333333333

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