(1/3)x+3=x+5

Simple and best practice solution for (1/3)x+3=x+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 (1/3)x+3=x+5 equation:



(1/3)x+3=x+5
We move all terms to the left:
(1/3)x+3-(x+5)=0
Domain of the equation: 3)x!=0
x!=0/1
x!=0
x∈R
We add all the numbers together, and all the variables
(+1/3)x-(x+5)+3=0
We multiply parentheses
x^2-(x+5)+3=0
We get rid of parentheses
x^2-x-5+3=0
We add all the numbers together, and all the variables
x^2-1x-2=0
a = 1; b = -1; c = -2;
Δ = b2-4ac
Δ = -12-4·1·(-2)
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-3}{2*1}=\frac{-2}{2} =-1 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+3}{2*1}=\frac{4}{2} =2 $

See similar equations:

| 1/8^2-3x=512^2x | | 55-u=254 | | 3x+18=58.5 | | P=-43x+760 | | -20z–8z+2z+19z+5=–2 | | -1+10y=5 | | -5b-75=-225 | | 0.25x+0.125x=1.2 | | 4/5+7/x=0 | | 8x-3/x,x=1/2 | | -15+7y=31 | | (2/y)^2+y^2=20 | | x.x+2=288 | | (-1/4)x=2 | | C=(x+8)2–(x–8)2–32x+10 | | -5x²+4x=0 | | y+y2+2=6 | | 4x-10x=8 | | X+1/14=9/7+x-8/9 | | 30+6x=7x+37 | | x+40+117=360 | | x+40+117=90 | | x+40+117=180 | | 0.70x+0.50(100-x)=70 | | 4/x=10/17 | | P=2(3x+2)+2(2x-1) | | 2(3x-4)-6=3+(-x+2) | | 40x=360° | | 8*x=23 | | -4x-1x-6=-8x+24 | | 9x-13=2x8 | | 3x–7=-25 |

Equations solver categories