3x-39=6(3x+6)

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Solution for 3x-39=6(3x+6) equation:


Simplifying
3x + -39 = 6(3x + 6)

Reorder the terms:
-39 + 3x = 6(3x + 6)

Reorder the terms:
-39 + 3x = 6(6 + 3x)
-39 + 3x = (6 * 6 + 3x * 6)
-39 + 3x = (36 + 18x)

Solving
-39 + 3x = 36 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
-39 + 3x + -18x = 36 + 18x + -18x

Combine like terms: 3x + -18x = -15x
-39 + -15x = 36 + 18x + -18x

Combine like terms: 18x + -18x = 0
-39 + -15x = 36 + 0
-39 + -15x = 36

Add '39' to each side of the equation.
-39 + 39 + -15x = 36 + 39

Combine like terms: -39 + 39 = 0
0 + -15x = 36 + 39
-15x = 36 + 39

Combine like terms: 36 + 39 = 75
-15x = 75

Divide each side by '-15'.
x = -5

Simplifying
x = -5

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