If it's not what You are looking for type in the equation solver your own equation and let us solve it.
2/3x-3=-2x+5
We move all terms to the left:
2/3x-3-(-2x+5)=0
Domain of the equation: 3x!=0We get rid of parentheses
x!=0/3
x!=0
x∈R
2/3x+2x-5-3=0
We multiply all the terms by the denominator
2x*3x-5*3x-3*3x+2=0
Wy multiply elements
6x^2-15x-9x+2=0
We add all the numbers together, and all the variables
6x^2-24x+2=0
a = 6; b = -24; c = +2;
Δ = b2-4ac
Δ = -242-4·6·2
Δ = 528
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{528}=\sqrt{16*33}=\sqrt{16}*\sqrt{33}=4\sqrt{33}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-24)-4\sqrt{33}}{2*6}=\frac{24-4\sqrt{33}}{12} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-24)+4\sqrt{33}}{2*6}=\frac{24+4\sqrt{33}}{12} $
| 7x-10x+18+-2x=-5 | | -2+3x+2=6 | | 7x-(8x-4)=56 | | w-8.91=4.47 | | 3(x+2)+4=43 | | 456.3m+65456456456=2 | | 2+3n-4=6 | | 12 = 18x 6x= | | 40x^2-49x-24=0 | | 114+2x/8=180 | | 5-3t=16 | | 9x-9.5=-9 | | 3x+4/2=5 | | 11x-3=2x+17 | | a-22/211=25/22-12/11 | | 12x-5x+145=12x+60 | | 180=2x+(6x+20) | | 4(3x-3)(x+4)=0 | | 6n-10=2n+50 | | 5(x-1)+2=12 | | 2×+3.5y=335 | | Y=6*30-2x | | x–30=10 | | 8=6+2t | | 7m+6=63 | | 32^2c=8^c+7 | | 5x-12=36-3x | | 9x-6=3x-9 | | 1.66(x-16)=4x+2 | | 13.44+0.11x=14.19-0.09x | | 23x+80=582 | | 7k+3=45-k |