.40x+.05(12-x)=.10(-29)

Solution for .40x+.05(12-x)=.10(-29) equation:

Simplifying
0.40x + 0.05(12 + -1x) = 0.10(-29)
0.40x + (12 * 0.05 + -1x * 0.05) = 0.10(-29)
0.40x + (0.6 + -0.05x) = 0.10(-29)

Reorder the terms:
0.6 + 0.40x + -0.05x = 0.10(-29)

Combine like terms: 0.40x + -0.05x = 0.35x
0.6 + 0.35x = 0.10(-29)

Multiply 0.10 * -29
0.6 + 0.35x = -2.9

Solving
0.6 + 0.35x = -2.9

Solving for variable 'x'.

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

Add '-0.6' to each side of the equation.
0.6 + -0.6 + 0.35x = -2.9 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 0.35x = -2.9 + -0.6
0.35x = -2.9 + -0.6

Combine like terms: -2.9 + -0.6 = -3.5
0.35x = -3.5

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

Simplifying
x = -10