x(x+7)=(4x+3)+(3x+13)

Solution for x(x+7)=(4x+3)+(3x+13) equation:

Simplifying
x(x + 7) = (4x + 3) + (3x + 13)

Reorder the terms:
x(7 + x) = (4x + 3) + (3x + 13)
(7 * x + x * x) = (4x + 3) + (3x + 13)
(7x + x2) = (4x + 3) + (3x + 13)

Reorder the terms:
7x + x2 = (3 + 4x) + (3x + 13)

Remove parenthesis around (3 + 4x)
7x + x2 = 3 + 4x + (3x + 13)

Reorder the terms:
7x + x2 = 3 + 4x + (13 + 3x)

Remove parenthesis around (13 + 3x)
7x + x2 = 3 + 4x + 13 + 3x

Reorder the terms:
7x + x2 = 3 + 13 + 4x + 3x

Combine like terms: 3 + 13 = 16
7x + x2 = 16 + 4x + 3x

Combine like terms: 4x + 3x = 7x
7x + x2 = 16 + 7x

Add '-7x' to each side of the equation.
7x + -7x + x2 = 16 + 7x + -7x

Combine like terms: 7x + -7x = 0
0 + x2 = 16 + 7x + -7x
x2 = 16 + 7x + -7x

Combine like terms: 7x + -7x = 0
x2 = 16 + 0
x2 = 16

Solving
x2 = 16

Solving for variable 'x'.

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

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}