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 = 16
2x = 16

Divide each side by '2'.
x = 8

Simplifying
x = 8