(x-6)(x+3)=(x-7)(x+5)

Simple and best practice solution for (x-6)(x+3)=(x-7)(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-6)(x+3)=(x-7)(x+5) equation: 


Simplifying
(x + -6)(x + 3) = (x + -7)(x + 5)

Reorder the terms:
(-6 + x)(x + 3) = (x + -7)(x + 5)

Reorder the terms:
(-6 + x)(3 + x) = (x + -7)(x + 5)

Multiply (-6 + x) * (3 + x)
(-6(3 + x) + x(3 + x)) = (x + -7)(x + 5)
((3 * -6 + x * -6) + x(3 + x)) = (x + -7)(x + 5)
((-18 + -6x) + x(3 + x)) = (x + -7)(x + 5)
(-18 + -6x + (3 * x + x * x)) = (x + -7)(x + 5)
(-18 + -6x + (3x + x2)) = (x + -7)(x + 5)

Combine like terms: -6x + 3x = -3x
(-18 + -3x + x2) = (x + -7)(x + 5)

Reorder the terms:
-18 + -3x + x2 = (-7 + x)(x + 5)

Reorder the terms:
-18 + -3x + x2 = (-7 + x)(5 + x)

Multiply (-7 + x) * (5 + x)
-18 + -3x + x2 = (-7(5 + x) + x(5 + x))
-18 + -3x + x2 = ((5 * -7 + x * -7) + x(5 + x))
-18 + -3x + x2 = ((-35 + -7x) + x(5 + x))
-18 + -3x + x2 = (-35 + -7x + (5 * x + x * x))
-18 + -3x + x2 = (-35 + -7x + (5x + x2))

Combine like terms: -7x + 5x = -2x
-18 + -3x + x2 = (-35 + -2x + x2)

Add '-1x2' to each side of the equation.
-18 + -3x + x2 + -1x2 = -35 + -2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-18 + -3x + 0 = -35 + -2x + x2 + -1x2
-18 + -3x = -35 + -2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-18 + -3x = -35 + -2x + 0
-18 + -3x = -35 + -2x

Solving
-18 + -3x = -35 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-18 + -3x + 2x = -35 + -2x + 2x

Combine like terms: -3x + 2x = -1x
-18 + -1x = -35 + -2x + 2x

Combine like terms: -2x + 2x = 0
-18 + -1x = -35 + 0
-18 + -1x = -35

Add '18' to each side of the equation.
-18 + 18 + -1x = -35 + 18

Combine like terms: -18 + 18 = 0
0 + -1x = -35 + 18
-1x = -35 + 18

Combine like terms: -35 + 18 = -17
-1x = -17

Divide each side by '-1'.
x = 17

Simplifying
x = 17

See similar equations:

| -9*b-4= | | 7x-3(x-2)=-6+3x+8 | | 5r^2+20r+8=-7 | | x+5=11-x | | H=3piem | | -34=v+42 | | 5a+9a+2a= | | 3(2y-4)=6y-15 | | 4(x-b)=z | | 3(-3)+2y=8 | | -s^2+8s+9=0 | | 3(-2)+2y=8 | | -2f+6(-f-9)=-6 | | 6n-24=10n+12 | | 2a^2-5ab-3b^2=11 | | -8+11x=3(4x-2) | | 4x-9x+6=-4 | | 3(6+5)=4(2b-5) | | 2a^2-ab-3b^2=11 | | 6-y+5y-6y=0 | | 2x=-2+x | | 0.35x+.05(20-x)=.10(40) | | (n-4)*5=40 | | 3(n+1)=4 | | 5x-4(x+7)=-33 | | 5x-4x(x+7)=-33 | | 5x^2-45x+25=0 | | 24-6x=14-12x-14 | | 3c+6=-18 | | 10x-(x+8)=28 | | (a-1)=6(a+1) | | 6x+35=13x-28 |

Equations solver categories