0.10x+0.5(6-x)=.10(6)

Solution for 0.10x+0.5(6-x)=.10(6) equation:

Simplifying
0.10x + 0.5(6 + -1x) = 0.10(6)
0.10x + (6 * 0.5 + -1x * 0.5) = 0.10(6)
0.10x + (3 + -0.5x) = 0.10(6)

Reorder the terms:
3 + 0.10x + -0.5x = 0.10(6)

Combine like terms: 0.10x + -0.5x = -0.4x
3 + -0.4x = 0.10(6)

Multiply 0.10 * 6
3 + -0.4x = 0.6

Solving
3 + -0.4x = 0.6

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + -0.4x = 0.6 + -3

Combine like terms: 3 + -3 = 0
0 + -0.4x = 0.6 + -3
-0.4x = 0.6 + -3

Combine like terms: 0.6 + -3 = -2.4
-0.4x = -2.4

Divide each side by '-0.4'.
x = 6

Simplifying
x = 6