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

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


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

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

Reorder the terms:
15 + 15x = 6 + -3(-3 + x)
15 + 15x = 6 + (-3 * -3 + x * -3)
15 + 15x = 6 + (9 + -3x)

Combine like terms: 6 + 9 = 15
15 + 15x = 15 + -3x

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

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

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

Solving
15x = -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.
15x + 3x = -3x + 3x

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

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

Divide each side by '18'.
x = 0

Simplifying
x = 0

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