9x-30=-3(5x-6)

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Solution for 9x-30=-3(5x-6) equation:


Simplifying
9x + -30 = -3(5x + -6)

Reorder the terms:
-30 + 9x = -3(5x + -6)

Reorder the terms:
-30 + 9x = -3(-6 + 5x)
-30 + 9x = (-6 * -3 + 5x * -3)
-30 + 9x = (18 + -15x)

Solving
-30 + 9x = 18 + -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.
-30 + 9x + 15x = 18 + -15x + 15x

Combine like terms: 9x + 15x = 24x
-30 + 24x = 18 + -15x + 15x

Combine like terms: -15x + 15x = 0
-30 + 24x = 18 + 0
-30 + 24x = 18

Add '30' to each side of the equation.
-30 + 30 + 24x = 18 + 30

Combine like terms: -30 + 30 = 0
0 + 24x = 18 + 30
24x = 18 + 30

Combine like terms: 18 + 30 = 48
24x = 48

Divide each side by '24'.
x = 2

Simplifying
x = 2

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