(5x-6)/3=10-x

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Solution for (5x-6)/3=10-x equation:



(5x-6)/3=10-x
We move all terms to the left:
(5x-6)/3-(10-x)=0
We add all the numbers together, and all the variables
(5x-6)/3-(-1x+10)=0
We get rid of parentheses
(5x-6)/3+1x-10=0
We multiply all the terms by the denominator
(5x-6)+1x*3-10*3=0
We add all the numbers together, and all the variables
(5x-6)+1x*3-30=0
Wy multiply elements
(5x-6)+3x-30=0
We get rid of parentheses
5x+3x-6-30=0
We add all the numbers together, and all the variables
8x-36=0
We move all terms containing x to the left, all other terms to the right
8x=36
x=36/8
x=4+1/2

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