5(3x+4)=6(x-6)-15

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Solution for 5(3x+4)=6(x-6)-15 equation: 


Simplifying
5(3x + 4) = 6(x + -6) + -15

Reorder the terms:
5(4 + 3x) = 6(x + -6) + -15
(4 * 5 + 3x * 5) = 6(x + -6) + -15
(20 + 15x) = 6(x + -6) + -15

Reorder the terms:
20 + 15x = 6(-6 + x) + -15
20 + 15x = (-6 * 6 + x * 6) + -15
20 + 15x = (-36 + 6x) + -15

Reorder the terms:
20 + 15x = -36 + -15 + 6x

Combine like terms: -36 + -15 = -51
20 + 15x = -51 + 6x

Solving
20 + 15x = -51 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
20 + 15x + -6x = -51 + 6x + -6x

Combine like terms: 15x + -6x = 9x
20 + 9x = -51 + 6x + -6x

Combine like terms: 6x + -6x = 0
20 + 9x = -51 + 0
20 + 9x = -51

Add '-20' to each side of the equation.
20 + -20 + 9x = -51 + -20

Combine like terms: 20 + -20 = 0
0 + 9x = -51 + -20
9x = -51 + -20

Combine like terms: -51 + -20 = -71
9x = -71

Divide each side by '9'.
x = -7.888888889

Simplifying
x = -7.888888889

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