0.40x+0.05(6-x)=0.10(-46)

Solution for 0.40x+0.05(6-x)=0.10(-46) equation:

Simplifying
0.40x + 0.05(6 + -1x) = 0.10(-46)
0.40x + (6 * 0.05 + -1x * 0.05) = 0.10(-46)
0.40x + (0.3 + -0.05x) = 0.10(-46)

Reorder the terms:
0.3 + 0.40x + -0.05x = 0.10(-46)

Combine like terms: 0.40x + -0.05x = 0.35x
0.3 + 0.35x = 0.10(-46)

Multiply 0.10 * -46
0.3 + 0.35x = -4.6

Solving
0.3 + 0.35x = -4.6

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 = -4.6 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + 0.35x = -4.6 + -0.3
0.35x = -4.6 + -0.3

Combine like terms: -4.6 + -0.3 = -4.9
0.35x = -4.9

Divide each side by '0.35'.
x = -14

Simplifying
x = -14