(x-5)(5-3)=x(6+9)

Solution for (x-5)(5-3)=x(6+9) equation:

Simplifying
(x + -5)(5 + -3) = x(6 + 9)

Reorder the terms:
(-5 + x)(5 + -3) = x(6 + 9)

Combine like terms: 5 + -3 = 2
(-5 + x)(2) = x(6 + 9)

Reorder the terms for easier multiplication:
2(-5 + x) = x(6 + 9)
(-5 * 2 + x * 2) = x(6 + 9)
(-10 + 2x) = x(6 + 9)

Combine like terms: 6 + 9 = 15
-10 + 2x = x(15)

Reorder the terms for easier multiplication:
-10 + 2x = 15x

Solving
-10 + 2x = 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-10 + 2x + -15x = 15x + -15x

Combine like terms: 2x + -15x = -13x
-10 + -13x = 15x + -15x

Combine like terms: 15x + -15x = 0
-10 + -13x = 0

Add '10' to each side of the equation.
-10 + 10 + -13x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -13x = 0 + 10
-13x = 0 + 10

Combine like terms: 0 + 10 = 10
-13x = 10

Divide each side by '-13'.
x = -0.7692307692

Simplifying
x = -0.7692307692