6(x-3)=2(3x-5)

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Solution for 6(x-3)=2(3x-5) equation:


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

Reorder the terms:
6(-3 + x) = 2(3x + -5)
(-3 * 6 + x * 6) = 2(3x + -5)
(-18 + 6x) = 2(3x + -5)

Reorder the terms:
-18 + 6x = 2(-5 + 3x)
-18 + 6x = (-5 * 2 + 3x * 2)
-18 + 6x = (-10 + 6x)

Add '-6x' to each side of the equation.
-18 + 6x + -6x = -10 + 6x + -6x

Combine like terms: 6x + -6x = 0
-18 + 0 = -10 + 6x + -6x
-18 = -10 + 6x + -6x

Combine like terms: 6x + -6x = 0
-18 = -10 + 0
-18 = -10

Solving
-18 = -10

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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