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

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