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

Simple and best practice solution for 2/3x+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 2/3x+2=1/2x-5 equation:



2/3x+2=1/2x-5
We move all terms to the left:
2/3x+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
2/3x-1/2x+5+2=0
We calculate fractions
4x/6x^2+(-3x)/6x^2+5+2=0
We add all the numbers together, and all the variables
4x/6x^2+(-3x)/6x^2+7=0
We multiply all the terms by the denominator
4x+(-3x)+7*6x^2=0
Wy multiply elements
42x^2+4x+(-3x)=0
We get rid of parentheses
42x^2+4x-3x=0
We add all the numbers together, and all the variables
42x^2+x=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{-2}{84} =-1/42 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*42}=\frac{0}{84} =0 $

See similar equations:

| -5w+2=-6w-7 | | -9(6u-15)=-9u | | -4-9q=-13q+12 | | 2x–9=x+4 | | 20=5x-5/3 | | 5-5n+6=2n-10 | | 4b+32=10+6b | | 2x+8=34* | | ?x9=24 | | 12=-4b/5 | | -4m-8=-6m+8 | | -2n+14=-6 | | 5(8d-6)=2(-15+20d) | | -6b=-7b+2 | | 3x-1=013 | | 4(x+6)=2(2x+12 | | 1/8x-8=-6 | | -8-2h=-h | | 20n-11=15n+15+14 | | –8h−6=–5h | | 0.50x+-12=-3 | | 7/9=a/18 | | 44=-6x-4 | | F(x)=6/2x-3=6 | | 7(x-2)+10=6x-3 | | 23=2u−11 | | 6y/7-5=7 | | 136=-8(6n+7) | | +81+X+51+x+72=180 | | 6x+8+4x=68 | | 4w+26=–66w= | | 12x=3(4x=7) |

Equations solver categories