If it's not what You are looking for type in the equation solver your own equation and let us solve it.
1/2x-5=1/6x+2
We move all terms to the left:
1/2x-5-(1/6x+2)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: 6x+2)!=0We get rid of parentheses
x∈R
1/2x-1/6x-2-5=0
We calculate fractions
6x/12x^2+(-2x)/12x^2-2-5=0
We add all the numbers together, and all the variables
6x/12x^2+(-2x)/12x^2-7=0
We multiply all the terms by the denominator
6x+(-2x)-7*12x^2=0
Wy multiply elements
-84x^2+6x+(-2x)=0
We get rid of parentheses
-84x^2+6x-2x=0
We add all the numbers together, and all the variables
-84x^2+4x=0
a = -84; b = 4; c = 0;
Δ = b2-4ac
Δ = 42-4·(-84)·0
Δ = 16
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{16}=4$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-4}{2*-84}=\frac{-8}{-168} =1/21 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+4}{2*-84}=\frac{0}{-168} =0 $
| 5/n=20/12 | | 9a-4=13 | | x+1=−80 | | 1x*0=1 | | 2x+28=5x-5 | | 6y+5=8y-7 | | 20+46.45x=52.45 | | 8(7x2=1) | | 8y-45=62 | | 120=-3x-7x+10 | | 2b-36+72+2b-14=180 | | 3.7x-5.7=23.9 | | 15+u-22=72 | | 7(p+1)=5(3p-7) | | u/3+11=36 | | y/6=35/10 | | (3x+15)+75=135 | | 2+3k+2=-2k+8-k | | 225=2.5x+15 | | x(3x-2)=3x^2+12x-30 | | 5(2x-4=2(4x+8 | | 8x=630+3x | | 7a+3+2=21 | | 7a+3+2=13 | | 10-(-d=3) | | 7a+3+2=14 | | 1=-5x+3x+7 | | 90+5x-8+3x+2=180 | | -x-5=x^2-7x-45 | | 6x6x6x6x6x6x6=6× | | x+-15=-21 | | x-7x-50=0 |