10=0.5*2*(6+x)

Solution for 10=0.5*2*(6+x) equation:

Simplifying
10 = 0.5 * 2(6 + x)

Multiply 0.5 * 2
10 = 1(6 + x)
10 = (6 * 1 + x * 1)
10 = (6 + 1x)

Solving
10 = 6 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
10 + -1x = 6 + 1x + -1x

Combine like terms: 1x + -1x = 0
10 + -1x = 6 + 0
10 + -1x = 6

Add '-10' to each side of the equation.
10 + -10 + -1x = 6 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 6 + -10
-1x = 6 + -10

Combine like terms: 6 + -10 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4