x-3=-4x+6

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Solution for x-3=-4x+6 equation: 



x-3=-4x+6

We move all terms to the left:

x-3-(-4x+6)=0

We get rid of parentheses

x+4x-6-3=0

We add all the numbers together, and all the variables

5x-9=0

We move all terms containing x to the left, all other terms to the right

5x=9

x=9/5

x=1+4/5

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