2/3x-7=2x-19

Simple and best practice solution for 2/3x-7=2x-19 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-7=2x-19 equation:



2/3x-7=2x-19
We move all terms to the left:
2/3x-7-(2x-19)=0
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
We get rid of parentheses
2/3x-2x+19-7=0
We multiply all the terms by the denominator
-2x*3x+19*3x-7*3x+2=0
Wy multiply elements
-6x^2+57x-21x+2=0
We add all the numbers together, and all the variables
-6x^2+36x+2=0
a = -6; b = 36; c = +2;
Δ = b2-4ac
Δ = 362-4·(-6)·2
Δ = 1344
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{1344}=\sqrt{64*21}=\sqrt{64}*\sqrt{21}=8\sqrt{21}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(36)-8\sqrt{21}}{2*-6}=\frac{-36-8\sqrt{21}}{-12} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(36)+8\sqrt{21}}{2*-6}=\frac{-36+8\sqrt{21}}{-12} $

See similar equations:

| 8+3x=4(-x+6)-37 | | 3^(9-3x)=27 | | 3x-2x+7x=4-3+11 | | x=1/2+9-12+1/3 | | 3x+7=78 | | 265=58-x | | -5x+2.5=22.5 | | 5a-7(-7)=28 | | 2x+5+2x+3x=4+7 | | 3x-2x+7=4-3+11 | | 2x+5+2x+3x=4+7x | | 101-u=174 | | -4y=16=4 | | 30/x=6/4 | | 3.5b-2.7b=-6 | | 4v-17=47 | | n/6-10=-7 | | 2x+5+2x+3x=2x+5+2x+3x=x+x+ | | 12-(5-2b)+10=5b | | 2^n=150 | | 4x-9=-3x+61 | | −6x−45−75=x5 | | -0.05+11n+9.97=11.4n+14 | | x+40=-90 | | 4/5x=72 | | 1/3x=23/4 | | 2(5x-4)+5(x-7)=-13 | | 2/3x+1/3=1/3+2/3 | | -r+5r=-12 | | 14=2/5x | | -2(x-1)+8+5x=3(x-6) | | (-3)(m-6)=4 |

Equations solver categories