2(3-x)+5(2x-8)=10

Solution for 2(3-x)+5(2x-8)=10 equation:

Simplifying
2(3 + -1x) + 5(2x + -8) = 10
(3 * 2 + -1x * 2) + 5(2x + -8) = 10
(6 + -2x) + 5(2x + -8) = 10

Reorder the terms:
6 + -2x + 5(-8 + 2x) = 10
6 + -2x + (-8 * 5 + 2x * 5) = 10
6 + -2x + (-40 + 10x) = 10

Reorder the terms:
6 + -40 + -2x + 10x = 10

Combine like terms: 6 + -40 = -34
-34 + -2x + 10x = 10

Combine like terms: -2x + 10x = 8x
-34 + 8x = 10

Solving
-34 + 8x = 10

Solving for variable 'x'.

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

Add '34' to each side of the equation.
-34 + 34 + 8x = 10 + 34

Combine like terms: -34 + 34 = 0
0 + 8x = 10 + 34
8x = 10 + 34

Combine like terms: 10 + 34 = 44
8x = 44

Divide each side by '8'.
x = 5.5

Simplifying
x = 5.5