0.20x+0.05(4-x)=0.10(-13)

Solution for 0.20x+0.05(4-x)=0.10(-13) equation:

Simplifying
0.20x + 0.05(4 + -1x) = 0.10(-13)
0.20x + (4 * 0.05 + -1x * 0.05) = 0.10(-13)
0.20x + (0.2 + -0.05x) = 0.10(-13)

Reorder the terms:
0.2 + 0.20x + -0.05x = 0.10(-13)

Combine like terms: 0.20x + -0.05x = 0.15x
0.2 + 0.15x = 0.10(-13)

Multiply 0.10 * -13
0.2 + 0.15x = -1.3

Solving
0.2 + 0.15x = -1.3

Solving for variable 'x'.

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

Add '-0.2' to each side of the equation.
0.2 + -0.2 + 0.15x = -1.3 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 0.15x = -1.3 + -0.2
0.15x = -1.3 + -0.2

Combine like terms: -1.3 + -0.2 = -1.5
0.15x = -1.5

Divide each side by '0.15'.
x = -10

Simplifying
x = -10