0.6(-x)+0.2(x-5)=10

Solution for 0.6(-x)+0.2(x-5)=10 equation:

Simplifying
0.6(-1x) + 0.2(x + -5) = 10

Remove parenthesis around (-1x)
0.6 * -1x + 0.2(x + -5) = 10

Multiply 0.6 * -1
-0.6x + 0.2(x + -5) = 10

Reorder the terms:
-0.6x + 0.2(-5 + x) = 10
-0.6x + (-5 * 0.2 + x * 0.2) = 10
-0.6x + (-1 + 0.2x) = 10

Reorder the terms:
-1 + -0.6x + 0.2x = 10

Combine like terms: -0.6x + 0.2x = -0.4x
-1 + -0.4x = 10

Solving
-1 + -0.4x = 10

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + -0.4x = 10 + 1

Combine like terms: -1 + 1 = 0
0 + -0.4x = 10 + 1
-0.4x = 10 + 1

Combine like terms: 10 + 1 = 11
-0.4x = 11

Divide each side by '-0.4'.
x = -27.5

Simplifying
x = -27.5