3(x-2)+5x=10

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

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

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

Combine like terms: 3x + 5x = 8x
-6 + 8x = 10

Solving
-6 + 8x = 10

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 = 10 + 6

Combine like terms: -6 + 6 = 0
0 + 8x = 10 + 6
8x = 10 + 6

Combine like terms: 10 + 6 = 16
8x = 16

Divide each side by '8'.
x = 2

Simplifying
x = 2