2x+2(x+3)=3

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

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

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

Reorder the terms:
6 + 2x + 2x = 3

Combine like terms: 2x + 2x = 4x
6 + 4x = 3

Solving
6 + 4x = 3

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 + 4x = 3 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = 3 + -6
4x = 3 + -6

Combine like terms: 3 + -6 = -3
4x = -3

Divide each side by '4'.
x = -0.75

Simplifying
x = -0.75