0.60x+0.05(6-x)=0.10(-30)

Solution for 0.60x+0.05(6-x)=0.10(-30) equation:

Simplifying
0.60x + 0.05(6 + -1x) = 0.10(-30)
0.60x + (6 * 0.05 + -1x * 0.05) = 0.10(-30)
0.60x + (0.3 + -0.05x) = 0.10(-30)

Reorder the terms:
0.3 + 0.60x + -0.05x = 0.10(-30)

Combine like terms: 0.60x + -0.05x = 0.55x
0.3 + 0.55x = 0.10(-30)

Multiply 0.10 * -30
0.3 + 0.55x = -3

Solving
0.3 + 0.55x = -3

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 = -3 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + 0.55x = -3 + -0.3
0.55x = -3 + -0.3

Combine like terms: -3 + -0.3 = -3.3
0.55x = -3.3

Divide each side by '0.55'.
x = -6

Simplifying
x = -6