0.30x+0.05[4-x]=0.10[-13]

Solution for 0.30x+0.05[4-x]=0.10[-13] equation:

Simplifying
0.30x + 0.05[4 + -1x] = 0.10[-13]
0.30x + [4 * 0.05 + -1x * 0.05] = 0.10[-13]
0.30x + [0.2 + -0.05x] = 0.10[-13]

Reorder the terms:
0.2 + 0.30x + -0.05x = 0.10[-13]

Combine like terms: 0.30x + -0.05x = 0.25x
0.2 + 0.25x = 0.10[-13]

Multiply 0.10 * -13
0.2 + 0.25x = -1.3

Solving
0.2 + 0.25x = -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 + 0.25x = -1.3 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 0.25x = -1.3 + -0.2
0.25x = -1.3 + -0.2

Combine like terms: -1.3 + -0.2 = -1.5
0.25x = -1.5

Divide each side by '0.25'.
x = -6

Simplifying
x = -6