6x+21=12x-15

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


Simplifying
6x + 21 = 12x + -15

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

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

Solving
21 + 6x = -15 + 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.
21 + 6x + -12x = -15 + 12x + -12x

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

Combine like terms: 12x + -12x = 0
21 + -6x = -15 + 0
21 + -6x = -15

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

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

Combine like terms: -15 + -21 = -36
-6x = -36

Divide each side by '-6'.
x = 6

Simplifying
x = 6

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