0.25x+0.05(10-x)=0.10(-19)

Solution for 0.25x+0.05(10-x)=0.10(-19) equation:

Simplifying
0.25x + 0.05(10 + -1x) = 0.10(-19)
0.25x + (10 * 0.05 + -1x * 0.05) = 0.10(-19)
0.25x + (0.5 + -0.05x) = 0.10(-19)

Reorder the terms:
0.5 + 0.25x + -0.05x = 0.10(-19)

Combine like terms: 0.25x + -0.05x = 0.2x
0.5 + 0.2x = 0.10(-19)

Multiply 0.10 * -19
0.5 + 0.2x = -1.9

Solving
0.5 + 0.2x = -1.9

Solving for variable 'x'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + 0.2x = -1.9 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 0.2x = -1.9 + -0.5
0.2x = -1.9 + -0.5

Combine like terms: -1.9 + -0.5 = -2.4
0.2x = -2.4

Divide each side by '0.2'.
x = -12

Simplifying
x = -12