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

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


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

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

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

Multiply (-5 + x) * (-6 + x)
(-5(-6 + x) + x(-6 + x)) = x(x + 3) + 7
((-6 * -5 + x * -5) + x(-6 + x)) = x(x + 3) + 7
((30 + -5x) + x(-6 + x)) = x(x + 3) + 7
(30 + -5x + (-6 * x + x * x)) = x(x + 3) + 7
(30 + -5x + (-6x + x2)) = x(x + 3) + 7

Combine like terms: -5x + -6x = -11x
(30 + -11x + x2) = x(x + 3) + 7

Reorder the terms:
30 + -11x + x2 = x(3 + x) + 7
30 + -11x + x2 = (3 * x + x * x) + 7
30 + -11x + x2 = (3x + x2) + 7

Reorder the terms:
30 + -11x + x2 = 7 + 3x + x2

Add '-1x2' to each side of the equation.
30 + -11x + x2 + -1x2 = 7 + 3x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
30 + -11x + 0 = 7 + 3x + x2 + -1x2
30 + -11x = 7 + 3x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
30 + -11x = 7 + 3x + 0
30 + -11x = 7 + 3x

Solving
30 + -11x = 7 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
30 + -11x + -3x = 7 + 3x + -3x

Combine like terms: -11x + -3x = -14x
30 + -14x = 7 + 3x + -3x

Combine like terms: 3x + -3x = 0
30 + -14x = 7 + 0
30 + -14x = 7

Add '-30' to each side of the equation.
30 + -30 + -14x = 7 + -30

Combine like terms: 30 + -30 = 0
0 + -14x = 7 + -30
-14x = 7 + -30

Combine like terms: 7 + -30 = -23
-14x = -23

Divide each side by '-14'.
x = 1.642857143

Simplifying
x = 1.642857143

See similar equations:

| 6x+5=90 | | x+12+x+13=17 | | 3x+6=-2x-4 | | 14x+6-11-12x= | | y=9x^2+18x+720 | | x+22+x+13=15 | | 3x-21=6 | | 5(x^2-4x)-(x+1)=0 | | x+20+2x+22=18 | | 8x=7x+42 | | 9+x-10=2x-12 | | (5n-2)3n-(5n-2)(n-1)=0 | | X-2+11=3x-9 | | 5p-2p+12=6 | | [3x+1]=5 | | 20x^2-17x+3= | | |4w-1|=5w+37 | | 0.4t+3(1.2t+0.9)=21.1 | | 13p-14+8p= | | 6n^2-19n-36=0 | | 3m+3+10=2m-1 | | [2-3x]=5 | | [3-2x]=5 | | 11-3x-9=x-2 | | 12+x-1=2x+3 | | 5(4+-2)=-10(-2x+1) | | 5(x+9)-7(x-9)=11(x-2) | | 5(3n+3)=7(9n+5)+2 | | 0.4t+3(1.2+0.9)=21.1 | | 6x+1+1=7x+1 | | 7(8cx+y)=55cx-2y | | -4.9x^2+18.9x+2.8=0 |

Equations solver categories