5(3x+3)=6(6x-4)

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Solution for 5(3x+3)=6(6x-4) equation:


Simplifying
5(3x + 3) = 6(6x + -4)

Reorder the terms:
5(3 + 3x) = 6(6x + -4)
(3 * 5 + 3x * 5) = 6(6x + -4)
(15 + 15x) = 6(6x + -4)

Reorder the terms:
15 + 15x = 6(-4 + 6x)
15 + 15x = (-4 * 6 + 6x * 6)
15 + 15x = (-24 + 36x)

Solving
15 + 15x = -24 + 36x

Solving for variable 'x'.

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

Add '-36x' to each side of the equation.
15 + 15x + -36x = -24 + 36x + -36x

Combine like terms: 15x + -36x = -21x
15 + -21x = -24 + 36x + -36x

Combine like terms: 36x + -36x = 0
15 + -21x = -24 + 0
15 + -21x = -24

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

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

Combine like terms: -24 + -15 = -39
-21x = -39

Divide each side by '-21'.
x = 1.857142857

Simplifying
x = 1.857142857

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