3(7x-6)=9x+54

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Solution for 3(7x-6)=9x+54 equation:


Simplifying
3(7x + -6) = 9x + 54

Reorder the terms:
3(-6 + 7x) = 9x + 54
(-6 * 3 + 7x * 3) = 9x + 54
(-18 + 21x) = 9x + 54

Reorder the terms:
-18 + 21x = 54 + 9x

Solving
-18 + 21x = 54 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-18 + 21x + -9x = 54 + 9x + -9x

Combine like terms: 21x + -9x = 12x
-18 + 12x = 54 + 9x + -9x

Combine like terms: 9x + -9x = 0
-18 + 12x = 54 + 0
-18 + 12x = 54

Add '18' to each side of the equation.
-18 + 18 + 12x = 54 + 18

Combine like terms: -18 + 18 = 0
0 + 12x = 54 + 18
12x = 54 + 18

Combine like terms: 54 + 18 = 72
12x = 72

Divide each side by '12'.
x = 6

Simplifying
x = 6

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