(x-6)(x+4)=(3-x)(8-x)

Simple and best practice solution for (x-6)(x+4)=(3-x)(8-x) 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-6)(x+4)=(3-x)(8-x) equation: 


Simplifying
(x + -6)(x + 4) = (3 + -1x)(8 + -1x)

Reorder the terms:
(-6 + x)(x + 4) = (3 + -1x)(8 + -1x)

Reorder the terms:
(-6 + x)(4 + x) = (3 + -1x)(8 + -1x)

Multiply (-6 + x) * (4 + x)
(-6(4 + x) + x(4 + x)) = (3 + -1x)(8 + -1x)
((4 * -6 + x * -6) + x(4 + x)) = (3 + -1x)(8 + -1x)
((-24 + -6x) + x(4 + x)) = (3 + -1x)(8 + -1x)
(-24 + -6x + (4 * x + x * x)) = (3 + -1x)(8 + -1x)
(-24 + -6x + (4x + x2)) = (3 + -1x)(8 + -1x)

Combine like terms: -6x + 4x = -2x
(-24 + -2x + x2) = (3 + -1x)(8 + -1x)

Multiply (3 + -1x) * (8 + -1x)
-24 + -2x + x2 = (3(8 + -1x) + -1x * (8 + -1x))
-24 + -2x + x2 = ((8 * 3 + -1x * 3) + -1x * (8 + -1x))
-24 + -2x + x2 = ((24 + -3x) + -1x * (8 + -1x))
-24 + -2x + x2 = (24 + -3x + (8 * -1x + -1x * -1x))
-24 + -2x + x2 = (24 + -3x + (-8x + 1x2))

Combine like terms: -3x + -8x = -11x
-24 + -2x + x2 = (24 + -11x + 1x2)

Solving
-24 + -2x + x2 = 24 + -11x + 1x2

Solving for variable 'x'.

Reorder the terms:
-24 + -24 + -2x + 11x + x2 + -1x2 = 24 + -11x + 1x2 + -24 + 11x + -1x2

Combine like terms: -24 + -24 = -48
-48 + -2x + 11x + x2 + -1x2 = 24 + -11x + 1x2 + -24 + 11x + -1x2

Combine like terms: -2x + 11x = 9x
-48 + 9x + x2 + -1x2 = 24 + -11x + 1x2 + -24 + 11x + -1x2

Combine like terms: x2 + -1x2 = 0
-48 + 9x + 0 = 24 + -11x + 1x2 + -24 + 11x + -1x2
-48 + 9x = 24 + -11x + 1x2 + -24 + 11x + -1x2

Reorder the terms:
-48 + 9x = 24 + -24 + -11x + 11x + 1x2 + -1x2

Combine like terms: 24 + -24 = 0
-48 + 9x = 0 + -11x + 11x + 1x2 + -1x2
-48 + 9x = -11x + 11x + 1x2 + -1x2

Combine like terms: -11x + 11x = 0
-48 + 9x = 0 + 1x2 + -1x2
-48 + 9x = 1x2 + -1x2

Combine like terms: 1x2 + -1x2 = 0
-48 + 9x = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-16 + 3x) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-16 + 3x)' equal to zero and attempt to solve:

Simplifying
-16 + 3x = 0

Solving
-16 + 3x = 0

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

Add '16' to each side of the equation.
-16 + 16 + 3x = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 3x = 0 + 16
3x = 0 + 16

Combine like terms: 0 + 16 = 16
3x = 16

Divide each side by '3'.
x = 5.333333333

Simplifying
x = 5.333333333
Solution
x = {5.333333333}

See similar equations:

| 6+x^2=14 | | 27+49m=82 | | 2v-15=18v-9 | | 3x+4.5x=0 | | 8(1+8x)=8+6x | | 4x-8=4x+1+18x | | -37(14x)+28(21x)=-70 | | 4x-8=4x+1+8x | | -37(14)+28(21x)=-70 | | -5(x+7)=-81 | | -4(r+4)=-49 | | 3(2x+2)=4(3x-1) | | -7n+23=-3-5(n-8) | | x-5+7b=28 | | B=33+-7b | | 2.1*1= | | 3/240=705/x | | 5.3=8.1-0.4x | | Un=4n | | 705/240=3/x | | -5v-8v=7+9 | | 190=10x+2(1.5x) | | 3275/1.5 | | 200-0.45x=650 | | 4+5x=6x-3 | | 5/7(14/3) | | 7(8+3x)=-140 | | cos(x+45)+cos(x-45)=2 | | 2x-11=2x+1 | | 5x=-x+34 | | 0.007(8-k)+0.06(k-1)=1 | | 8x^2+35x=25 |

Equations solver categories