1/3x+2=1/2x-5

Simple and best practice solution for 1/3x+2=1/2x-5 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 1/3x+2=1/2x-5 equation:



1/3x+2=1/2x-5
We move all terms to the left:
1/3x+2-(1/2x-5)=0
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
Domain of the equation: 2x-5)!=0
x∈R
We get rid of parentheses
1/3x-1/2x+5+2=0
We calculate fractions
2x/6x^2+(-3x)/6x^2+5+2=0
We add all the numbers together, and all the variables
2x/6x^2+(-3x)/6x^2+7=0
We multiply all the terms by the denominator
2x+(-3x)+7*6x^2=0
Wy multiply elements
42x^2+2x+(-3x)=0
We get rid of parentheses
42x^2+2x-3x=0
We add all the numbers together, and all the variables
42x^2-1x=0
a = 42; b = -1; c = 0;
Δ = b2-4ac
Δ = -12-4·42·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-1}{2*42}=\frac{0}{84} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+1}{2*42}=\frac{2}{84} =1/42 $

See similar equations:

| 2x-178=11x+92 | | x-9=76 | | 3^4x-1=5 | | 5n-7=5n-10+3 | | 4x+5(-3x+16)=179 | | 8-3(p-5)=-2 | | 1/2(x-8)=3/2x+7 | | 68-35=3x+53 | | -23.4=r-15.7 | | 7=8+10x+20x^2 | | 4/6x-12-18/6x-12=1/2 | | 68-35+3x+53=180 | | 6x^2+18x-166=2 | | -7x-9=24 | | 5x-3(x-4)=-3+5x-9 | | 2x-7=2/3x+10 | | 3z/7-3=-5 | | 16x-9-(13-9x)+17=15x-22-(7-4x) | | 4/6x-12-3/x-2=1/2 | | 5y²-27y+30=0 | | 2+3x=-4x+1 | | 2x+4÷3=10 | | t/9+2(t/18+4)=10 | | 42/y=1.09*y | | X=1.618x-40 | | 2^x=21 | | (93)(80,000)=100x | | (10/m)+(2m)=-20 | | -8=3y+1= | | 5.1–4.2(r+1)=-20.1 | | 3+(4-x)^3/2=11 | | 5y^2-27y+30=0 |

Equations solver categories