6(3x-4)=3x+21

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Solution for 6(3x-4)=3x+21 equation: 


Simplifying
6(3x + -4) = 3x + 21

Reorder the terms:
6(-4 + 3x) = 3x + 21
(-4 * 6 + 3x * 6) = 3x + 21
(-24 + 18x) = 3x + 21

Reorder the terms:
-24 + 18x = 21 + 3x

Solving
-24 + 18x = 21 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-24 + 18x + -3x = 21 + 3x + -3x

Combine like terms: 18x + -3x = 15x
-24 + 15x = 21 + 3x + -3x

Combine like terms: 3x + -3x = 0
-24 + 15x = 21 + 0
-24 + 15x = 21

Add '24' to each side of the equation.
-24 + 24 + 15x = 21 + 24

Combine like terms: -24 + 24 = 0
0 + 15x = 21 + 24
15x = 21 + 24

Combine like terms: 21 + 24 = 45
15x = 45

Divide each side by '15'.
x = 3

Simplifying
x = 3

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