6+x(x+5)=4+(x+6)(x+7)

Solution for 6+x(x+5)=4+(x+6)(x+7) equation:

Simplifying
6 + x(x + 5) = 4 + (x + 6)(x + 7)

Reorder the terms:
6 + x(5 + x) = 4 + (x + 6)(x + 7)
6 + (5 * x + x * x) = 4 + (x + 6)(x + 7)
6 + (5x + x2) = 4 + (x + 6)(x + 7)

Reorder the terms:
6 + 5x + x2 = 4 + (6 + x)(x + 7)

Reorder the terms:
6 + 5x + x2 = 4 + (6 + x)(7 + x)

Multiply (6 + x) * (7 + x)
6 + 5x + x2 = 4 + (6(7 + x) + x(7 + x))
6 + 5x + x2 = 4 + ((7 * 6 + x * 6) + x(7 + x))
6 + 5x + x2 = 4 + ((42 + 6x) + x(7 + x))
6 + 5x + x2 = 4 + (42 + 6x + (7 * x + x * x))
6 + 5x + x2 = 4 + (42 + 6x + (7x + x2))

Combine like terms: 6x + 7x = 13x
6 + 5x + x2 = 4 + (42 + 13x + x2)

Combine like terms: 4 + 42 = 46
6 + 5x + x2 = 46 + 13x + x2

Add '-1x2' to each side of the equation.
6 + 5x + x2 + -1x2 = 46 + 13x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
6 + 5x + 0 = 46 + 13x + x2 + -1x2
6 + 5x = 46 + 13x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
6 + 5x = 46 + 13x + 0
6 + 5x = 46 + 13x

Solving
6 + 5x = 46 + 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.
6 + 5x + -13x = 46 + 13x + -13x

Combine like terms: 5x + -13x = -8x
6 + -8x = 46 + 13x + -13x

Combine like terms: 13x + -13x = 0
6 + -8x = 46 + 0
6 + -8x = 46

Add '-6' to each side of the equation.
6 + -6 + -8x = 46 + -6

Combine like terms: 6 + -6 = 0
0 + -8x = 46 + -6
-8x = 46 + -6

Combine like terms: 46 + -6 = 40
-8x = 40

Divide each side by '-8'.
x = -5

Simplifying
x = -5