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3(2x-5)=2(3x-2)
 Oct 17, 2013
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3(2x-5)=2(3x-2)
Simple and best practice solution for 3(2x-5)=2(3x-2) equation.


Equation:

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

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

Reorder the terms:
3(-5 + 2x) = 2(3x + -2)
(-5 * 3 + 2x * 3) = 2(3x + -2)
(-15 + 6x) = 2(3x + -2)

Reorder the terms:
-15 + 6x = 2(-2 + 3x)
-15 + 6x = (-2 * 2 + 3x * 2)
-15 + 6x = (-4 + 6x)

Add '-6x' to each side of the equation.
-15 + 6x + -6x = -4 + 6x + -6x

Combine like terms: 6x + -6x = 0
-15 + 0 = -4 + 6x + -6x
-15 = -4 + 6x + -6x

Combine like terms: 6x + -6x = 0
-15 = -4 + 0
-15 = -4

Solving
-15 = -4

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.

I used translate, so I hope you can understand (:
Denada!
 Oct 17, 2013

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