(x+7)(x-6)=x(x+3)

Solution for (x+7)(x-6)=x(x+3) equation:

Simplifying
(x + 7)(x + -6) = x(x + 3)

Reorder the terms:
(7 + x)(x + -6) = x(x + 3)

Reorder the terms:
(7 + x)(-6 + x) = x(x + 3)

Multiply (7 + x) * (-6 + x)
(7(-6 + x) + x(-6 + x)) = x(x + 3)
((-6 * 7 + x * 7) + x(-6 + x)) = x(x + 3)
((-42 + 7x) + x(-6 + x)) = x(x + 3)
(-42 + 7x + (-6 * x + x * x)) = x(x + 3)
(-42 + 7x + (-6x + x2)) = x(x + 3)

Combine like terms: 7x + -6x = 1x
(-42 + 1x + x2) = x(x + 3)

Reorder the terms:
-42 + 1x + x2 = x(3 + x)
-42 + 1x + x2 = (3 * x + x * x)
-42 + 1x + x2 = (3x + x2)

Add '-1x2' to each side of the equation.
-42 + 1x + x2 + -1x2 = 3x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-42 + 1x + 0 = 3x + x2 + -1x2
-42 + 1x = 3x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-42 + 1x = 3x + 0
-42 + 1x = 3x

Solving
-42 + 1x = 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-42 + 1x + -3x = 3x + -3x

Combine like terms: 1x + -3x = -2x
-42 + -2x = 3x + -3x

Combine like terms: 3x + -3x = 0
-42 + -2x = 0

Add '42' to each side of the equation.
-42 + 42 + -2x = 0 + 42

Combine like terms: -42 + 42 = 0
0 + -2x = 0 + 42
-2x = 0 + 42

Combine like terms: 0 + 42 = 42
-2x = 42

Divide each side by '-2'.
x = -21

Simplifying
x = -21