3x(x-5)=(3x+2)(x-1)

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



3x(x-5)=(3x+2)(x-1)
We move all terms to the left:
3x(x-5)-((3x+2)(x-1))=0
We multiply parentheses
3x^2-15x-((3x+2)(x-1))=0
We multiply parentheses ..
3x^2-((+3x^2-3x+2x-2))-15x=0
We calculate terms in parentheses: -((+3x^2-3x+2x-2)), so:
(+3x^2-3x+2x-2)
We get rid of parentheses
3x^2-3x+2x-2
We add all the numbers together, and all the variables
3x^2-1x-2
Back to the equation:
-(3x^2-1x-2)
We add all the numbers together, and all the variables
3x^2-15x-(3x^2-1x-2)=0
We get rid of parentheses
3x^2-3x^2-15x+1x+2=0
We add all the numbers together, and all the variables
-14x+2=0
We move all terms containing x to the left, all other terms to the right
-14x=-2
x=-2/-14
x=1/7

See similar equations:

| 3.1x+2.2=11.5 | | 1.5(x+8)+32x=10 | | 4y(y+3)=16 | | -2/3(-4+2x)=-12 | | 2=9−n​ | | 2(4x+6)=2/3(12+18) | | 15(x-6)=10x+1 | | 4y+3=16 | | f(2)=256 | | 8/9(3i+27)=2/9(i+68) | | 5x+30x-1=7(5x+8) | | ​5/h​​=5.1 | | 1-4m=13+4m-2m | | 10=d+16 | | t+3/52=5 | | q/7+2=10 | | (x+20)=4x | | -k=2k-8 | | 5x=2=2x-10 | | 200m-75m+62,725=66,300-200m | | x2=32 | | -4=d+3/5-23 | | -15-2r=5r-4r | | (8x-6x)^3-5(8-6x)^2+3(8-6x)-1= | | 9x+5=11×-25 | | 7/5=x+9/x-5 | | 8x+12=78 | | 8(x-10)=-2(-4x+5) | | 175m-125m+45,450=45,450-175m | | 5x2-10=0 | | 65/100=x/60 | | 5x+5.25(2500-x)=12625 |

Equations solver categories