(x+3)(x+11)=x(x+8)+57

Solution for (x+3)(x+11)=x(x+8)+57 equation:

Simplifying
(x + 3)(x + 11) = x(x + 8) + 57

Reorder the terms:
(3 + x)(x + 11) = x(x + 8) + 57

Reorder the terms:
(3 + x)(11 + x) = x(x + 8) + 57

Multiply (3 + x) * (11 + x)
(3(11 + x) + x(11 + x)) = x(x + 8) + 57
((11 * 3 + x * 3) + x(11 + x)) = x(x + 8) + 57
((33 + 3x) + x(11 + x)) = x(x + 8) + 57
(33 + 3x + (11 * x + x * x)) = x(x + 8) + 57
(33 + 3x + (11x + x2)) = x(x + 8) + 57

Combine like terms: 3x + 11x = 14x
(33 + 14x + x2) = x(x + 8) + 57

Reorder the terms:
33 + 14x + x2 = x(8 + x) + 57
33 + 14x + x2 = (8 * x + x * x) + 57
33 + 14x + x2 = (8x + x2) + 57

Reorder the terms:
33 + 14x + x2 = 57 + 8x + x2

Add '-1x2' to each side of the equation.
33 + 14x + x2 + -1x2 = 57 + 8x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
33 + 14x + 0 = 57 + 8x + x2 + -1x2
33 + 14x = 57 + 8x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
33 + 14x = 57 + 8x + 0
33 + 14x = 57 + 8x

Solving
33 + 14x = 57 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
33 + 14x + -8x = 57 + 8x + -8x

Combine like terms: 14x + -8x = 6x
33 + 6x = 57 + 8x + -8x

Combine like terms: 8x + -8x = 0
33 + 6x = 57 + 0
33 + 6x = 57

Add '-33' to each side of the equation.
33 + -33 + 6x = 57 + -33

Combine like terms: 33 + -33 = 0
0 + 6x = 57 + -33
6x = 57 + -33

Combine like terms: 57 + -33 = 24
6x = 24

Divide each side by '6'.
x = 4

Simplifying
x = 4