(x-3)(x+8)=(x+4)(x+5)

Simple and best practice solution for (x-3)(x+8)=(x+4)(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+8)=(x+4)(x+5) equation: 


Simplifying
(x + -3)(x + 8) = (x + 4)(x + 5)

Reorder the terms:
(-3 + x)(x + 8) = (x + 4)(x + 5)

Reorder the terms:
(-3 + x)(8 + x) = (x + 4)(x + 5)

Multiply (-3 + x) * (8 + x)
(-3(8 + x) + x(8 + x)) = (x + 4)(x + 5)
((8 * -3 + x * -3) + x(8 + x)) = (x + 4)(x + 5)
((-24 + -3x) + x(8 + x)) = (x + 4)(x + 5)
(-24 + -3x + (8 * x + x * x)) = (x + 4)(x + 5)
(-24 + -3x + (8x + x2)) = (x + 4)(x + 5)

Combine like terms: -3x + 8x = 5x
(-24 + 5x + x2) = (x + 4)(x + 5)

Reorder the terms:
-24 + 5x + x2 = (4 + x)(x + 5)

Reorder the terms:
-24 + 5x + x2 = (4 + x)(5 + x)

Multiply (4 + x) * (5 + x)
-24 + 5x + x2 = (4(5 + x) + x(5 + x))
-24 + 5x + x2 = ((5 * 4 + x * 4) + x(5 + x))
-24 + 5x + x2 = ((20 + 4x) + x(5 + x))
-24 + 5x + x2 = (20 + 4x + (5 * x + x * x))
-24 + 5x + x2 = (20 + 4x + (5x + x2))

Combine like terms: 4x + 5x = 9x
-24 + 5x + x2 = (20 + 9x + x2)

Add '-1x2' to each side of the equation.
-24 + 5x + x2 + -1x2 = 20 + 9x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-24 + 5x + 0 = 20 + 9x + x2 + -1x2
-24 + 5x = 20 + 9x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-24 + 5x = 20 + 9x + 0
-24 + 5x = 20 + 9x

Solving
-24 + 5x = 20 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-24 + 5x + -9x = 20 + 9x + -9x

Combine like terms: 5x + -9x = -4x
-24 + -4x = 20 + 9x + -9x

Combine like terms: 9x + -9x = 0
-24 + -4x = 20 + 0
-24 + -4x = 20

Add '24' to each side of the equation.
-24 + 24 + -4x = 20 + 24

Combine like terms: -24 + 24 = 0
0 + -4x = 20 + 24
-4x = 20 + 24

Combine like terms: 20 + 24 = 44
-4x = 44

Divide each side by '-4'.
x = -11

Simplifying
x = -11

See similar equations:

| 2(x-9)-(1-5x)=-19 | | x+9z/4+6=9x | | 4(x+9)=-6(x-1) | | 4*-5/3*2/-9 | | x/6=16 | | v-8=27 | | b+9/8=-4 | | X=y-7 | | 2x+6=4(x-1) | | 83=p+29 | | -6/-7*4*5/-3 | | 5(n+2)+8(n+9)= | | 2x-9y=-18 | | 2(10y+8)=5(4y-2) | | 2-(3x-7)=0 | | [x+2]-3=0.5x+1 | | 3/5-2/3-(-8/15) | | [x-2]-3=0.5x+1 | | 2(c+9)=c+4 | | -2/3-7/18+1/2 | | 9b+1=6b-8 | | -1/8+5/6-3/4 | | 2-4/5-1-3/4 | | 24/5-13/4 | | .6x+4=4.3 | | -3/2+6/-5 | | -64a=96 | | y-2=-8 | | 8/-9-(-3)/5 | | 2/-3+7/5 | | a=2d+5r | | -5/6-(-1/8) |

Equations solver categories