2[7(x-3)]=10

Solution for 2[7(x-3)]=10 equation:

Simplifying
2[7(x + -3)] = 10

Reorder the terms:
2[7(-3 + x)] = 10
2[(-3 * 7 + x * 7)] = 10
2[(-21 + 7x)] = 10
[-21 * 2 + 7x * 2] = 10
[-42 + 14x] = 10

Solving
-42 + 14x = 10

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '42' to each side of the equation.
-42 + 42 + 14x = 10 + 42

Combine like terms: -42 + 42 = 0
0 + 14x = 10 + 42
14x = 10 + 42

Combine like terms: 10 + 42 = 52
14x = 52

Divide each side by '14'.
x = 3.714285714

Simplifying
x = 3.714285714