(x-3)(x+4)=(x+3)(x+8)

Solution for (x-3)(x+4)=(x+3)(x+8) equation:

Simplifying
(x + -3)(x + 4) = (x + 3)(x + 8)

Reorder the terms:
(-3 + x)(x + 4) = (x + 3)(x + 8)

Reorder the terms:
(-3 + x)(4 + x) = (x + 3)(x + 8)

Multiply (-3 + x) * (4 + x)
(-3(4 + x) + x(4 + x)) = (x + 3)(x + 8)
((4 * -3 + x * -3) + x(4 + x)) = (x + 3)(x + 8)
((-12 + -3x) + x(4 + x)) = (x + 3)(x + 8)
(-12 + -3x + (4 * x + x * x)) = (x + 3)(x + 8)
(-12 + -3x + (4x + x2)) = (x + 3)(x + 8)

Combine like terms: -3x + 4x = 1x
(-12 + 1x + x2) = (x + 3)(x + 8)

Reorder the terms:
-12 + 1x + x2 = (3 + x)(x + 8)

Reorder the terms:
-12 + 1x + x2 = (3 + x)(8 + x)

Multiply (3 + x) * (8 + x)
-12 + 1x + x2 = (3(8 + x) + x(8 + x))
-12 + 1x + x2 = ((8 * 3 + x * 3) + x(8 + x))
-12 + 1x + x2 = ((24 + 3x) + x(8 + x))
-12 + 1x + x2 = (24 + 3x + (8 * x + x * x))
-12 + 1x + x2 = (24 + 3x + (8x + x2))

Combine like terms: 3x + 8x = 11x
-12 + 1x + x2 = (24 + 11x + x2)

Add '-1x2' to each side of the equation.
-12 + 1x + x2 + -1x2 = 24 + 11x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-12 + 1x + 0 = 24 + 11x + x2 + -1x2
-12 + 1x = 24 + 11x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-12 + 1x = 24 + 11x + 0
-12 + 1x = 24 + 11x

Solving
-12 + 1x = 24 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
-12 + 1x + -11x = 24 + 11x + -11x

Combine like terms: 1x + -11x = -10x
-12 + -10x = 24 + 11x + -11x

Combine like terms: 11x + -11x = 0
-12 + -10x = 24 + 0
-12 + -10x = 24

Add '12' to each side of the equation.
-12 + 12 + -10x = 24 + 12

Combine like terms: -12 + 12 = 0
0 + -10x = 24 + 12
-10x = 24 + 12

Combine like terms: 24 + 12 = 36
-10x = 36

Divide each side by '-10'.
x = -3.6

Simplifying
x = -3.6