10x+2/3=7/3-5x

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Solution for 10x+2/3=7/3-5x equation:



10x+2/3=7/3-5x
We move all terms to the left:
10x+2/3-(7/3-5x)=0
Domain of the equation: 3-5x)!=0
We move all terms containing x to the left, all other terms to the right
-5x)!=-3
x!=-3/1
x!=-3
x∈R
We add all the numbers together, and all the variables
10x-(-5x+7/3)+2/3=0
We get rid of parentheses
10x+5x-7/3+2/3=0
We multiply all the terms by the denominator
10x*3+5x*3-7+2=0
We add all the numbers together, and all the variables
10x*3+5x*3-5=0
Wy multiply elements
30x+15x-5=0
We add all the numbers together, and all the variables
45x-5=0
We move all terms containing x to the left, all other terms to the right
45x=5
x=5/45
x=1/9

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