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

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


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

Reorder the terms:
3(15 + x) + -6x = -6(x + -3)
(15 * 3 + x * 3) + -6x = -6(x + -3)
(45 + 3x) + -6x = -6(x + -3)

Combine like terms: 3x + -6x = -3x
45 + -3x = -6(x + -3)

Reorder the terms:
45 + -3x = -6(-3 + x)
45 + -3x = (-3 * -6 + x * -6)
45 + -3x = (18 + -6x)

Solving
45 + -3x = 18 + -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.
45 + -3x + 6x = 18 + -6x + 6x

Combine like terms: -3x + 6x = 3x
45 + 3x = 18 + -6x + 6x

Combine like terms: -6x + 6x = 0
45 + 3x = 18 + 0
45 + 3x = 18

Add '-45' to each side of the equation.
45 + -45 + 3x = 18 + -45

Combine like terms: 45 + -45 = 0
0 + 3x = 18 + -45
3x = 18 + -45

Combine like terms: 18 + -45 = -27
3x = -27

Divide each side by '3'.
x = -9

Simplifying
x = -9

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