(x+3)(x-5)=(2x+8)(x-5)

Simple and best practice solution for (x+3)(x-5)=(2x+8)(x-5) 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+3)(x-5)=(2x+8)(x-5) equation: 


Simplifying
(x + 3)(x + -5) = (2x + 8)(x + -5)

Reorder the terms:
(3 + x)(x + -5) = (2x + 8)(x + -5)

Reorder the terms:
(3 + x)(-5 + x) = (2x + 8)(x + -5)

Multiply (3 + x) * (-5 + x)
(3(-5 + x) + x(-5 + x)) = (2x + 8)(x + -5)
((-5 * 3 + x * 3) + x(-5 + x)) = (2x + 8)(x + -5)
((-15 + 3x) + x(-5 + x)) = (2x + 8)(x + -5)
(-15 + 3x + (-5 * x + x * x)) = (2x + 8)(x + -5)
(-15 + 3x + (-5x + x2)) = (2x + 8)(x + -5)

Combine like terms: 3x + -5x = -2x
(-15 + -2x + x2) = (2x + 8)(x + -5)

Reorder the terms:
-15 + -2x + x2 = (8 + 2x)(x + -5)

Reorder the terms:
-15 + -2x + x2 = (8 + 2x)(-5 + x)

Multiply (8 + 2x) * (-5 + x)
-15 + -2x + x2 = (8(-5 + x) + 2x * (-5 + x))
-15 + -2x + x2 = ((-5 * 8 + x * 8) + 2x * (-5 + x))
-15 + -2x + x2 = ((-40 + 8x) + 2x * (-5 + x))
-15 + -2x + x2 = (-40 + 8x + (-5 * 2x + x * 2x))
-15 + -2x + x2 = (-40 + 8x + (-10x + 2x2))

Combine like terms: 8x + -10x = -2x
-15 + -2x + x2 = (-40 + -2x + 2x2)

Add '2x' to each side of the equation.
-15 + -2x + 2x + x2 = -40 + -2x + 2x + 2x2

Combine like terms: -2x + 2x = 0
-15 + 0 + x2 = -40 + -2x + 2x + 2x2
-15 + x2 = -40 + -2x + 2x + 2x2

Combine like terms: -2x + 2x = 0
-15 + x2 = -40 + 0 + 2x2
-15 + x2 = -40 + 2x2

Solving
-15 + x2 = -40 + 2x2

Solving for variable 'x'.

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

Add '-2x2' to each side of the equation.
-15 + x2 + -2x2 = -40 + 2x2 + -2x2

Combine like terms: x2 + -2x2 = -1x2
-15 + -1x2 = -40 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-15 + -1x2 = -40 + 0
-15 + -1x2 = -40

Add '15' to each side of the equation.
-15 + 15 + -1x2 = -40 + 15

Combine like terms: -15 + 15 = 0
0 + -1x2 = -40 + 15
-1x2 = -40 + 15

Combine like terms: -40 + 15 = -25
-1x2 = -25

Divide each side by '-1'.
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5}

See similar equations:

| 2-K+5(X-1)=3 | | -2=-2(5v+6) | | 4(6z-1)-4(z+1)=5(2+1) | | 9(8)-6(4)= | | for-6x-4y=-8 | | 7(6x+-1)+x=36 | | 1/4x44 | | (4x+5)(x-3)=8x+10 | | 2x/(.500-x) | | 2e+6=2097152 | | 9x-162=12x-180 | | 35+2x+16+4x+3=180 | | -10=x^2-6x-1 | | 15y(15y)-11y+2=0 | | 28a/4a3= | | 21+-6x=-11+-14x | | 7.50+8.99=3.95+11.95 | | 8x-3=6x-19 | | 24÷2/3 | | 21+-6x=-11+-14 | | -r^2=81-18r | | 160=-16tsquared+96t+16 | | -7(n-4)n= | | (15y)2-11y+2=0 | | 180-142= | | 6(6g+2)= | | -6(-y+7)= | | x+6=2x-27 | | 3x-40x-24=24 | | 15(y)2-11y+2=0 | | 41/9-7/8 | | Tanx=7/24 |

Equations solver categories