(x-2)(x-6)=(x+6)(x+4)

Simple and best practice solution for (x-2)(x-6)=(x+6)(x+4) 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-2)(x-6)=(x+6)(x+4) equation: 


Simplifying
(x + -2)(x + -6) = (x + 6)(x + 4)

Reorder the terms:
(-2 + x)(x + -6) = (x + 6)(x + 4)

Reorder the terms:
(-2 + x)(-6 + x) = (x + 6)(x + 4)

Multiply (-2 + x) * (-6 + x)
(-2(-6 + x) + x(-6 + x)) = (x + 6)(x + 4)
((-6 * -2 + x * -2) + x(-6 + x)) = (x + 6)(x + 4)
((12 + -2x) + x(-6 + x)) = (x + 6)(x + 4)
(12 + -2x + (-6 * x + x * x)) = (x + 6)(x + 4)
(12 + -2x + (-6x + x2)) = (x + 6)(x + 4)

Combine like terms: -2x + -6x = -8x
(12 + -8x + x2) = (x + 6)(x + 4)

Reorder the terms:
12 + -8x + x2 = (6 + x)(x + 4)

Reorder the terms:
12 + -8x + x2 = (6 + x)(4 + x)

Multiply (6 + x) * (4 + x)
12 + -8x + x2 = (6(4 + x) + x(4 + x))
12 + -8x + x2 = ((4 * 6 + x * 6) + x(4 + x))
12 + -8x + x2 = ((24 + 6x) + x(4 + x))
12 + -8x + x2 = (24 + 6x + (4 * x + x * x))
12 + -8x + x2 = (24 + 6x + (4x + x2))

Combine like terms: 6x + 4x = 10x
12 + -8x + x2 = (24 + 10x + x2)

Add '-1x2' to each side of the equation.
12 + -8x + x2 + -1x2 = 24 + 10x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
12 + -8x + 0 = 24 + 10x + x2 + -1x2
12 + -8x = 24 + 10x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
12 + -8x = 24 + 10x + 0
12 + -8x = 24 + 10x

Solving
12 + -8x = 24 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
12 + -8x + -10x = 24 + 10x + -10x

Combine like terms: -8x + -10x = -18x
12 + -18x = 24 + 10x + -10x

Combine like terms: 10x + -10x = 0
12 + -18x = 24 + 0
12 + -18x = 24

Add '-12' to each side of the equation.
12 + -12 + -18x = 24 + -12

Combine like terms: 12 + -12 = 0
0 + -18x = 24 + -12
-18x = 24 + -12

Combine like terms: 24 + -12 = 12
-18x = 12

Divide each side by '-18'.
x = -0.6666666667

Simplifying
x = -0.6666666667

See similar equations:

| z-3/8=3/4 | | y+13.7=28 | | 4-2c=10 | | 5(y+6)+3y=-2 | | -7x=19 | | 17=3(2x-1) | | y+13.8=29 | | 4+3x=x+12 | | 6v+7(v-8)=-4 | | x^6+117x^3=1000 | | -6x-2=9x^2+3x+3x+1 | | 5x+12=82 | | -5-x=-26 | | 2x^2-5x=-4 | | 0.50(9-y)+0.20y=3.75 | | 3-h=6gk+11 | | -18u-12=-30u-18 | | 8-7w=3w+9 | | 2x^2-20x+49=0 | | 3x+11=-5 | | -1=5(w-2)-8w | | 3(x+3)+3x=27 | | 49y^2-14xy+x^2=0 | | 8-3=7-3-3 | | (10)=x | | .5(18+4h)h=26 | | 10+2=x | | -34=7(y-7)-4y | | 5x-35=-12x | | 12(3x+4)-7(2x-5)=2x-57 | | 6y+7=3y-14 | | 5x-12=83 |

Equations solver categories