x(3x-4)-2=2(5-2x)

Simple and best practice solution for x(3x-4)-2=2(5-2x) 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 x(3x-4)-2=2(5-2x) equation: 


Simplifying
x(3x + -4) + -2 = 2(5 + -2x)

Reorder the terms:
x(-4 + 3x) + -2 = 2(5 + -2x)
(-4 * x + 3x * x) + -2 = 2(5 + -2x)
(-4x + 3x2) + -2 = 2(5 + -2x)

Reorder the terms:
-2 + -4x + 3x2 = 2(5 + -2x)
-2 + -4x + 3x2 = (5 * 2 + -2x * 2)
-2 + -4x + 3x2 = (10 + -4x)

Add '4x' to each side of the equation.
-2 + -4x + 4x + 3x2 = 10 + -4x + 4x

Combine like terms: -4x + 4x = 0
-2 + 0 + 3x2 = 10 + -4x + 4x
-2 + 3x2 = 10 + -4x + 4x

Combine like terms: -4x + 4x = 0
-2 + 3x2 = 10 + 0
-2 + 3x2 = 10

Solving
-2 + 3x2 = 10

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2' to each side of the equation.
-2 + 2 + 3x2 = 10 + 2

Combine like terms: -2 + 2 = 0
0 + 3x2 = 10 + 2
3x2 = 10 + 2

Combine like terms: 10 + 2 = 12
3x2 = 12

Divide each side by '3'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}

See similar equations:

| 3x^2+96=-x^2 | | 2^3+6/3-(-10/2) | | 7n-5=5n-9 | | x(10-x)=2(5x-2) | | 30x-20x=0 | | 3x+6y=5 | | 172=7x+4 | | Z=3(7x+30)+4(x+1) | | 7(2x-1)=4(1-5x)+6 | | 6x^8y^0/8x^4 | | 4x^2+44x-120=0 | | 8-7x-x=16 | | 5xy^4-7xy^2= | | d-(240-a)+(500-d)=455 | | y-6x=7 | | -27=-7+3x-3 | | 5x+3=25+9x | | (3x-1)(3x+1)=5 | | 266-5x=40x+21 | | -18=3x+x-10 | | -3x-5+5x=13 | | 0.85=ln(y) | | 13-10x=93-2x | | -2=5/4-r/3 | | 5x-8+4x=46 | | X-6y=6 | | -7=p+2/2 | | y^2+13y+30=0 | | 7/3+3 | | 7x+9-4x=-27 | | 5/3+5 | | 3x^2+y^2-2xy-24=0 |

Equations solver categories