3(x+2)=5(3x-6)

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Solution for 3(x+2)=5(3x-6) equation:


Simplifying
3(x + 2) = 5(3x + -6)

Reorder the terms:
3(2 + x) = 5(3x + -6)
(2 * 3 + x * 3) = 5(3x + -6)
(6 + 3x) = 5(3x + -6)

Reorder the terms:
6 + 3x = 5(-6 + 3x)
6 + 3x = (-6 * 5 + 3x * 5)
6 + 3x = (-30 + 15x)

Solving
6 + 3x = -30 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
6 + 3x + -15x = -30 + 15x + -15x

Combine like terms: 3x + -15x = -12x
6 + -12x = -30 + 15x + -15x

Combine like terms: 15x + -15x = 0
6 + -12x = -30 + 0
6 + -12x = -30

Add '-6' to each side of the equation.
6 + -6 + -12x = -30 + -6

Combine like terms: 6 + -6 = 0
0 + -12x = -30 + -6
-12x = -30 + -6

Combine like terms: -30 + -6 = -36
-12x = -36

Divide each side by '-12'.
x = 3

Simplifying
x = 3

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