1/4+2x=19/4-3x

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Solution for 1/4+2x=19/4-3x equation:



1/4+2x=19/4-3x
We move all terms to the left:
1/4+2x-(19/4-3x)=0
Domain of the equation: 4-3x)!=0
We move all terms containing x to the left, all other terms to the right
-3x)!=-4
x!=-4/1
x!=-4
x∈R
We add all the numbers together, and all the variables
2x-(-3x+19/4)+1/4=0
We get rid of parentheses
2x+3x-19/4+1/4=0
We multiply all the terms by the denominator
2x*4+3x*4-19+1=0
We add all the numbers together, and all the variables
2x*4+3x*4-18=0
Wy multiply elements
8x+12x-18=0
We add all the numbers together, and all the variables
20x-18=0
We move all terms containing x to the left, all other terms to the right
20x=18
x=18/20
x=9/10

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