(x+10)(x+1)=(x)(x+13)

Simple and best practice solution for (x+10)(x+1)=(x)(x+13) 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+10)(x+1)=(x)(x+13) equation:


Simplifying
(x + 10)(x + 1) = (x)(x + 13)

Reorder the terms:
(10 + x)(x + 1) = (x)(x + 13)

Reorder the terms:
(10 + x)(1 + x) = (x)(x + 13)

Multiply (10 + x) * (1 + x)
(10(1 + x) + x(1 + x)) = (x)(x + 13)
((1 * 10 + x * 10) + x(1 + x)) = (x)(x + 13)
((10 + 10x) + x(1 + x)) = (x)(x + 13)
(10 + 10x + (1 * x + x * x)) = (x)(x + 13)
(10 + 10x + (1x + x2)) = (x)(x + 13)

Combine like terms: 10x + 1x = 11x
(10 + 11x + x2) = (x)(x + 13)

Reorder the terms:
10 + 11x + x2 = x(13 + x)
10 + 11x + x2 = (13 * x + x * x)
10 + 11x + x2 = (13x + x2)

Add '-1x2' to each side of the equation.
10 + 11x + x2 + -1x2 = 13x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
10 + 11x + 0 = 13x + x2 + -1x2
10 + 11x = 13x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
10 + 11x = 13x + 0
10 + 11x = 13x

Solving
10 + 11x = 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
10 + 11x + -13x = 13x + -13x

Combine like terms: 11x + -13x = -2x
10 + -2x = 13x + -13x

Combine like terms: 13x + -13x = 0
10 + -2x = 0

Add '-10' to each side of the equation.
10 + -10 + -2x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = 0 + -10
-2x = 0 + -10

Combine like terms: 0 + -10 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5

See similar equations:

| 2x^2-14x-28=0 | | -y=-33 | | 180=3x+x+20 | | f(x)=3x^2-17x-6 | | 10a^2+4a=0 | | 15y-3y+8=4y-6+14 | | 7*4+4y=24 | | 4(2x-1)=2x+5 | | -2x^3+6x^2+4x=0 | | 7b+13b^2=0 | | Y=8*-1y | | 5(x)=0.4(x-1)+0.65 | | -a/2-3/4a | | 10m^3-15m^2=0 | | -[4(d+3)-5[3d-2(2d+7)]-8]=-10-6 | | 2(2+4)=3+12X | | log(6-7x)=3 | | 12xy+12=0 | | 6+(x+4)=12+x | | Y=4*-3(y+8)+5 | | 12z^2-29z+14=0 | | 4+3m=7m-8+3m-9 | | y=-16x^2+8x+30 | | 3x-6+6x=x+2x+10 | | r^2=6.28 | | 7x+4=4x+24-2x | | (4x-5)=2(x+3) | | x-5*2x+2*3x-3=0 | | 9y^2-18y-16=0 | | 19y^2-18y-16=0 | | (2x)(4y)(5z)=40xyz | | 2(2x+4)=5(x-2) |

Equations solver categories