4x-2(x-3)=10

Solution for 4x-2(x-3)=10 equation:

Simplifying
4x + -2(x + -3) = 10

Reorder the terms:
4x + -2(-3 + x) = 10
4x + (-3 * -2 + x * -2) = 10
4x + (6 + -2x) = 10

Reorder the terms:
6 + 4x + -2x = 10

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

Divide each side by '2'.
x = 2

Simplifying
x = 2