3x-4x(1-2x)=8-(4x-3)

Simple and best practice solution for 3x-4x(1-2x)=8-(4x-3) 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-4x(1-2x)=8-(4x-3) equation: 


Simplifying
3x + -4x(1 + -2x) = 8 + -1(4x + -3)
3x + (1 * -4x + -2x * -4x) = 8 + -1(4x + -3)
3x + (-4x + 8x2) = 8 + -1(4x + -3)

Combine like terms: 3x + -4x = -1x
-1x + 8x2 = 8 + -1(4x + -3)

Reorder the terms:
-1x + 8x2 = 8 + -1(-3 + 4x)
-1x + 8x2 = 8 + (-3 * -1 + 4x * -1)
-1x + 8x2 = 8 + (3 + -4x)

Combine like terms: 8 + 3 = 11
-1x + 8x2 = 11 + -4x

Solving
-1x + 8x2 = 11 + -4x

Solving for variable 'x'.

Reorder the terms:
-11 + -1x + 4x + 8x2 = 11 + -4x + -11 + 4x

Combine like terms: -1x + 4x = 3x
-11 + 3x + 8x2 = 11 + -4x + -11 + 4x

Reorder the terms:
-11 + 3x + 8x2 = 11 + -11 + -4x + 4x

Combine like terms: 11 + -11 = 0
-11 + 3x + 8x2 = 0 + -4x + 4x
-11 + 3x + 8x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
-11 + 3x + 8x2 = 0

Factor a trinomial.
(-11 + -8x)(1 + -1x) = 0


Subproblem 1
Set the factor '(-11 + -8x)' equal to zero and attempt to solve:

Simplifying
-11 + -8x = 0

Solving
-11 + -8x = 0

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

Add '11' to each side of the equation.
-11 + 11 + -8x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -8x = 0 + 11
-8x = 0 + 11

Combine like terms: 0 + 11 = 11
-8x = 11

Divide each side by '-8'.
x = -1.375

Simplifying
x = -1.375

Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

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

Simplifying
x = 1
Solution
x = {-1.375, 1}

See similar equations:

| 4x+6-x-3x=5+8x-3-2x | | 7=5/(v-6) | | h(x)=-4 | | 3n+7=n-1 | | 7(y-8)+8y=34 | | 15+10x=65 | | 34.54=2*3.14*r | | -5w+3(w+5)=3 | | 9x^2-a^2b^4=0 | | 2x-3=9-4(x-3) | | 6(x-6)+6x=12 | | 5x+2y=54 | | 20=0.6 | | 21x+3=26x-2 | | 21x+3=26-2 | | -23=5u+7(u+7) | | 3x+1y=162 | | -9+6x= | | 3(z-6)/4=2z-7 | | 2x/-27x^2 | | 9(z+1)-3(z-1)=3(z-3)+2(z-3) | | -500=-80x+x^2 | | 3(z-6)/4 | | -500=120x-x^2 | | 60y^2+32y-15=0 | | 500=-120x-x^2 | | ((x^7)-3)/11 | | (x^7)-3/11 | | 1/8(2x-5)^2=5 | | x-6=-3-28 | | x=19-87 | | 3w=2w-5 |

Equations solver categories