3(x-6)=6x+21

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Solution for 3(x-6)=6x+21 equation:


Simplifying
3(x + -6) = 6x + 21

Reorder the terms:
3(-6 + x) = 6x + 21
(-6 * 3 + x * 3) = 6x + 21
(-18 + 3x) = 6x + 21

Reorder the terms:
-18 + 3x = 21 + 6x

Solving
-18 + 3x = 21 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-18 + 3x + -6x = 21 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-18 + -3x = 21 + 6x + -6x

Combine like terms: 6x + -6x = 0
-18 + -3x = 21 + 0
-18 + -3x = 21

Add '18' to each side of the equation.
-18 + 18 + -3x = 21 + 18

Combine like terms: -18 + 18 = 0
0 + -3x = 21 + 18
-3x = 21 + 18

Combine like terms: 21 + 18 = 39
-3x = 39

Divide each side by '-3'.
x = -13

Simplifying
x = -13

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