5(x+2)+x(6-3)=

Solution for 5(x+2)+x(6-3)= equation:

Simplifying
5(x + 2) + x(6 + -3) = 0

Reorder the terms:
5(2 + x) + x(6 + -3) = 0
(2 * 5 + x * 5) + x(6 + -3) = 0
(10 + 5x) + x(6 + -3) = 0

Combine like terms: 6 + -3 = 3
10 + 5x + x(3) = 0

Reorder the terms for easier multiplication:
10 + 5x + 3x = 0

Combine like terms: 5x + 3x = 8x
10 + 8x = 0

Solving
10 + 8x = 0

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 8x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 8x = 0 + -10
8x = 0 + -10

Combine like terms: 0 + -10 = -10
8x = -10

Divide each side by '8'.
x = -1.25

Simplifying
x = -1.25