3(6x+9)+12x=15(x-3)

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Solution for 3(6x+9)+12x=15(x-3) equation:


Simplifying
3(6x + 9) + 12x = 15(x + -3)

Reorder the terms:
3(9 + 6x) + 12x = 15(x + -3)
(9 * 3 + 6x * 3) + 12x = 15(x + -3)
(27 + 18x) + 12x = 15(x + -3)

Combine like terms: 18x + 12x = 30x
27 + 30x = 15(x + -3)

Reorder the terms:
27 + 30x = 15(-3 + x)
27 + 30x = (-3 * 15 + x * 15)
27 + 30x = (-45 + 15x)

Solving
27 + 30x = -45 + 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.
27 + 30x + -15x = -45 + 15x + -15x

Combine like terms: 30x + -15x = 15x
27 + 15x = -45 + 15x + -15x

Combine like terms: 15x + -15x = 0
27 + 15x = -45 + 0
27 + 15x = -45

Add '-27' to each side of the equation.
27 + -27 + 15x = -45 + -27

Combine like terms: 27 + -27 = 0
0 + 15x = -45 + -27
15x = -45 + -27

Combine like terms: -45 + -27 = -72
15x = -72

Divide each side by '15'.
x = -4.8

Simplifying
x = -4.8

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