5(9+2x)=x(6+13)

Solution for 5(9+2x)=x(6+13) equation:

Simplifying
5(9 + 2x) = x(6 + 13)
(9 * 5 + 2x * 5) = x(6 + 13)
(45 + 10x) = x(6 + 13)

Combine like terms: 6 + 13 = 19
45 + 10x = x(19)

Reorder the terms for easier multiplication:
45 + 10x = 19x

Solving
45 + 10x = 19x

Solving for variable 'x'.

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

Add '-19x' to each side of the equation.
45 + 10x + -19x = 19x + -19x

Combine like terms: 10x + -19x = -9x
45 + -9x = 19x + -19x

Combine like terms: 19x + -19x = 0
45 + -9x = 0

Add '-45' to each side of the equation.
45 + -45 + -9x = 0 + -45

Combine like terms: 45 + -45 = 0
0 + -9x = 0 + -45
-9x = 0 + -45

Combine like terms: 0 + -45 = -45
-9x = -45

Divide each side by '-9'.
x = 5

Simplifying
x = 5