2x+2(x-3)=10

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

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

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

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

Combine like terms: 2x + 2x = 4x
-6 + 4x = 10

Solving
-6 + 4x = 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 + 4x = 10 + 6

Combine like terms: -6 + 6 = 0
0 + 4x = 10 + 6
4x = 10 + 6

Combine like terms: 10 + 6 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4