[2(x-3)]=10

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

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

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

Remove brackets around [-6 + 2x]
-6 + 2x = 10

Solving
-6 + 2x = 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 + 2x = 10 + 6

Combine like terms: -6 + 6 = 0
0 + 2x = 10 + 6
2x = 10 + 6

Combine like terms: 10 + 6 = 16
2x = 16

Divide each side by '2'.
x = 8

Simplifying
x = 8