2(x-3)+6x=10

Solution for 2(x-3)+6x=10 equation:

Simplifying
2(x + -3) + 6x = 10

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

Combine like terms: 2x + 6x = 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