15x-6(x+3)=5(3x-3)-6(x-4)

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Solution for 15x-6(x+3)=5(3x-3)-6(x-4) equation:


Simplifying
15x + -6(x + 3) = 5(3x + -3) + -6(x + -4)

Reorder the terms:
15x + -6(3 + x) = 5(3x + -3) + -6(x + -4)
15x + (3 * -6 + x * -6) = 5(3x + -3) + -6(x + -4)
15x + (-18 + -6x) = 5(3x + -3) + -6(x + -4)

Reorder the terms:
-18 + 15x + -6x = 5(3x + -3) + -6(x + -4)

Combine like terms: 15x + -6x = 9x
-18 + 9x = 5(3x + -3) + -6(x + -4)

Reorder the terms:
-18 + 9x = 5(-3 + 3x) + -6(x + -4)
-18 + 9x = (-3 * 5 + 3x * 5) + -6(x + -4)
-18 + 9x = (-15 + 15x) + -6(x + -4)

Reorder the terms:
-18 + 9x = -15 + 15x + -6(-4 + x)
-18 + 9x = -15 + 15x + (-4 * -6 + x * -6)
-18 + 9x = -15 + 15x + (24 + -6x)

Reorder the terms:
-18 + 9x = -15 + 24 + 15x + -6x

Combine like terms: -15 + 24 = 9
-18 + 9x = 9 + 15x + -6x

Combine like terms: 15x + -6x = 9x
-18 + 9x = 9 + 9x

Add '-9x' to each side of the equation.
-18 + 9x + -9x = 9 + 9x + -9x

Combine like terms: 9x + -9x = 0
-18 + 0 = 9 + 9x + -9x
-18 = 9 + 9x + -9x

Combine like terms: 9x + -9x = 0
-18 = 9 + 0
-18 = 9

Solving
-18 = 9

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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