3(4-2(x-1)x)-2x(1-3x)=2-3(x-1)

Simple and best practice solution for 3(4-2(x-1)x)-2x(1-3x)=2-3(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 3(4-2(x-1)x)-2x(1-3x)=2-3(x-1) equation: 


Simplifying
3(4 + -2(x + -1) * x) + -2x(1 + -3x) = 2 + -3(x + -1)

Reorder the terms:
3(4 + -2(-1 + x) * x) + -2x(1 + -3x) = 2 + -3(x + -1)

Reorder the terms for easier multiplication:
3(4 + -2x(-1 + x)) + -2x(1 + -3x) = 2 + -3(x + -1)
3(4 + (-1 * -2x + x * -2x)) + -2x(1 + -3x) = 2 + -3(x + -1)
3(4 + (2x + -2x2)) + -2x(1 + -3x) = 2 + -3(x + -1)
(4 * 3 + 2x * 3 + -2x2 * 3) + -2x(1 + -3x) = 2 + -3(x + -1)
(12 + 6x + -6x2) + -2x(1 + -3x) = 2 + -3(x + -1)
12 + 6x + -6x2 + (1 * -2x + -3x * -2x) = 2 + -3(x + -1)
12 + 6x + -6x2 + (-2x + 6x2) = 2 + -3(x + -1)

Reorder the terms:
12 + 6x + -2x + -6x2 + 6x2 = 2 + -3(x + -1)

Combine like terms: 6x + -2x = 4x
12 + 4x + -6x2 + 6x2 = 2 + -3(x + -1)

Combine like terms: -6x2 + 6x2 = 0
12 + 4x + 0 = 2 + -3(x + -1)
12 + 4x = 2 + -3(x + -1)

Reorder the terms:
12 + 4x = 2 + -3(-1 + x)
12 + 4x = 2 + (-1 * -3 + x * -3)
12 + 4x = 2 + (3 + -3x)

Combine like terms: 2 + 3 = 5
12 + 4x = 5 + -3x

Solving
12 + 4x = 5 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
12 + 4x + 3x = 5 + -3x + 3x

Combine like terms: 4x + 3x = 7x
12 + 7x = 5 + -3x + 3x

Combine like terms: -3x + 3x = 0
12 + 7x = 5 + 0
12 + 7x = 5

Add '-12' to each side of the equation.
12 + -12 + 7x = 5 + -12

Combine like terms: 12 + -12 = 0
0 + 7x = 5 + -12
7x = 5 + -12

Combine like terms: 5 + -12 = -7
7x = -7

Divide each side by '7'.
x = -1

Simplifying
x = -1

See similar equations:

| (3x-5)+(5x-2)= | | 2.5-3n=n-5.5 | | 2(4-2(3x-5))=60-15x | | -5=2b+10 | | 2(3(x+4)-7)+1=8x-11 | | x/10-9=5 | | 2(3(4-x)-2(3+2x)-2)=44 | | y=x^3-x^2+1 | | e/5-3=1 | | 3(3w-2)=5(3-w) | | 3k-9(k+7)=2(2k-56) | | .5x-8=2(x-8) | | 3k+9=4k-5 | | (x+3)+(-5x+4)=0 | | 78=4x+8 | | 8x-24+12=4x-x+3 | | 2a+8=4a+6 | | b^3-7*b^2+36=0 | | 14x-10=6x+6 | | 1+6p=25+2(p+3) | | 17+3y=28 | | 3-6t=5t+2(t-8) | | 7(a*0+6)-2=a(p-2)+10 | | 15y+35x=266.76 | | 7(a*0+6)-2=a(0-2)+10 | | xdy+y^2dx=0 | | 7x^3-x^2y^3=7 | | 10x-2y+15w-7-5w+2x= | | 7(4p+6)-2=4(p-2)+10 | | 7(a*p+6)-2=a(p-2)+10 | | f(x)=5sinx+3cosx+2x^4-17 | | 35x+15y=266.76 |

Equations solver categories