0.40x+0.05(6-x)=0.10(-32)

Solution for 0.40x+0.05(6-x)=0.10(-32) equation:

Simplifying
0.40x + 0.05(6 + -1x) = 0.10(-32)
0.40x + (6 * 0.05 + -1x * 0.05) = 0.10(-32)
0.40x + (0.3 + -0.05x) = 0.10(-32)

Reorder the terms:
0.3 + 0.40x + -0.05x = 0.10(-32)

Combine like terms: 0.40x + -0.05x = 0.35x
0.3 + 0.35x = 0.10(-32)

Multiply 0.10 * -32
0.3 + 0.35x = -3.2

Solving
0.3 + 0.35x = -3.2

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 + 0.35x = -3.2 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + 0.35x = -3.2 + -0.3
0.35x = -3.2 + -0.3

Combine like terms: -3.2 + -0.3 = -3.5
0.35x = -3.5

Divide each side by '0.35'.
x = -10

Simplifying
x = -10