2(x+5)+2(3x-8)=22

Solution for 2(x+5)+2(3x-8)=22 equation:

Simplifying
2(x + 5) + 2(3x + -8) = 22

Reorder the terms:
2(5 + x) + 2(3x + -8) = 22
(5 * 2 + x * 2) + 2(3x + -8) = 22
(10 + 2x) + 2(3x + -8) = 22

Reorder the terms:
10 + 2x + 2(-8 + 3x) = 22
10 + 2x + (-8 * 2 + 3x * 2) = 22
10 + 2x + (-16 + 6x) = 22

Reorder the terms:
10 + -16 + 2x + 6x = 22

Combine like terms: 10 + -16 = -6
-6 + 2x + 6x = 22

Combine like terms: 2x + 6x = 8x
-6 + 8x = 22

Solving
-6 + 8x = 22

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 8x = 22 + 6

Combine like terms: -6 + 6 = 0
0 + 8x = 22 + 6
8x = 22 + 6

Combine like terms: 22 + 6 = 28
8x = 28

Divide each side by '8'.
x = 3.5

Simplifying
x = 3.5