.60x+.05(6-x)=.10(-52)

Solution for .60x+.05(6-x)=.10(-52) equation:

Simplifying
0.60x + 0.05(6 + -1x) = 0.10(-52)
0.60x + (6 * 0.05 + -1x * 0.05) = 0.10(-52)
0.60x + (0.3 + -0.05x) = 0.10(-52)

Reorder the terms:
0.3 + 0.60x + -0.05x = 0.10(-52)

Combine like terms: 0.60x + -0.05x = 0.55x
0.3 + 0.55x = 0.10(-52)

Multiply 0.10 * -52
0.3 + 0.55x = -5.2

Solving
0.3 + 0.55x = -5.2

Solving for variable 'x'.

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

Add '-0.3' to each side of the equation.
0.3 + -0.3 + 0.55x = -5.2 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + 0.55x = -5.2 + -0.3
0.55x = -5.2 + -0.3

Combine like terms: -5.2 + -0.3 = -5.5
0.55x = -5.5

Divide each side by '0.55'.
x = -10

Simplifying
x = -10