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

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


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

Reorder the terms:
3(-15 + 3x) = 6(x + -15)
(-15 * 3 + 3x * 3) = 6(x + -15)
(-45 + 9x) = 6(x + -15)

Reorder the terms:
-45 + 9x = 6(-15 + x)
-45 + 9x = (-15 * 6 + x * 6)
-45 + 9x = (-90 + 6x)

Solving
-45 + 9x = -90 + 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 + 9x + -6x = -90 + 6x + -6x

Combine like terms: 9x + -6x = 3x
-45 + 3x = -90 + 6x + -6x

Combine like terms: 6x + -6x = 0
-45 + 3x = -90 + 0
-45 + 3x = -90

Add '45' to each side of the equation.
-45 + 45 + 3x = -90 + 45

Combine like terms: -45 + 45 = 0
0 + 3x = -90 + 45
3x = -90 + 45

Combine like terms: -90 + 45 = -45
3x = -45

Divide each side by '3'.
x = -15

Simplifying
x = -15

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