3(-2x-9)+3=-9(3x+5)

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Solution for 3(-2x-9)+3=-9(3x+5) equation:


Simplifying
3(-2x + -9) + 3 = -9(3x + 5)

Reorder the terms:
3(-9 + -2x) + 3 = -9(3x + 5)
(-9 * 3 + -2x * 3) + 3 = -9(3x + 5)
(-27 + -6x) + 3 = -9(3x + 5)

Reorder the terms:
-27 + 3 + -6x = -9(3x + 5)

Combine like terms: -27 + 3 = -24
-24 + -6x = -9(3x + 5)

Reorder the terms:
-24 + -6x = -9(5 + 3x)
-24 + -6x = (5 * -9 + 3x * -9)
-24 + -6x = (-45 + -27x)

Solving
-24 + -6x = -45 + -27x

Solving for variable 'x'.

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

Add '27x' to each side of the equation.
-24 + -6x + 27x = -45 + -27x + 27x

Combine like terms: -6x + 27x = 21x
-24 + 21x = -45 + -27x + 27x

Combine like terms: -27x + 27x = 0
-24 + 21x = -45 + 0
-24 + 21x = -45

Add '24' to each side of the equation.
-24 + 24 + 21x = -45 + 24

Combine like terms: -24 + 24 = 0
0 + 21x = -45 + 24
21x = -45 + 24

Combine like terms: -45 + 24 = -21
21x = -21

Divide each side by '21'.
x = -1

Simplifying
x = -1

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