9x-3(6x-5)=3x-15

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Solution for 9x-3(6x-5)=3x-15 equation:


Simplifying
9x + -3(6x + -5) = 3x + -15

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

Reorder the terms:
15 + 9x + -18x = 3x + -15

Combine like terms: 9x + -18x = -9x
15 + -9x = 3x + -15

Reorder the terms:
15 + -9x = -15 + 3x

Solving
15 + -9x = -15 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
15 + -9x + -3x = -15 + 3x + -3x

Combine like terms: -9x + -3x = -12x
15 + -12x = -15 + 3x + -3x

Combine like terms: 3x + -3x = 0
15 + -12x = -15 + 0
15 + -12x = -15

Add '-15' to each side of the equation.
15 + -15 + -12x = -15 + -15

Combine like terms: 15 + -15 = 0
0 + -12x = -15 + -15
-12x = -15 + -15

Combine like terms: -15 + -15 = -30
-12x = -30

Divide each side by '-12'.
x = 2.5

Simplifying
x = 2.5

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