6x+2(x+3)=10

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

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

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

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

Combine like terms: 6x + 2x = 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 = 4
8x = 4

Divide each side by '8'.
x = 0.5

Simplifying
x = 0.5