2(x+3)+8(x+2)=30

Solution for 2(x+3)+8(x+2)=30 equation:

Simplifying
2(x + 3) + 8(x + 2) = 30

Reorder the terms:
2(3 + x) + 8(x + 2) = 30
(3 * 2 + x * 2) + 8(x + 2) = 30
(6 + 2x) + 8(x + 2) = 30

Reorder the terms:
6 + 2x + 8(2 + x) = 30
6 + 2x + (2 * 8 + x * 8) = 30
6 + 2x + (16 + 8x) = 30

Reorder the terms:
6 + 16 + 2x + 8x = 30

Combine like terms: 6 + 16 = 22
22 + 2x + 8x = 30

Combine like terms: 2x + 8x = 10x
22 + 10x = 30

Solving
22 + 10x = 30

Solving for variable 'x'.

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

Add '-22' to each side of the equation.
22 + -22 + 10x = 30 + -22

Combine like terms: 22 + -22 = 0
0 + 10x = 30 + -22
10x = 30 + -22

Combine like terms: 30 + -22 = 8
10x = 8

Divide each side by '10'.
x = 0.8

Simplifying
x = 0.8