0.95x+0.05(10-x)=0.10(-13)

Solution for 0.95x+0.05(10-x)=0.10(-13) equation:

Simplifying
0.95x + 0.05(10 + -1x) = 0.10(-13)
0.95x + (10 * 0.05 + -1x * 0.05) = 0.10(-13)
0.95x + (0.5 + -0.05x) = 0.10(-13)

Reorder the terms:
0.5 + 0.95x + -0.05x = 0.10(-13)

Combine like terms: 0.95x + -0.05x = 0.9x
0.5 + 0.9x = 0.10(-13)

Multiply 0.10 * -13
0.5 + 0.9x = -1.3

Solving
0.5 + 0.9x = -1.3

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 + 0.9x = -1.3 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 0.9x = -1.3 + -0.5
0.9x = -1.3 + -0.5

Combine like terms: -1.3 + -0.5 = -1.8
0.9x = -1.8

Divide each side by '0.9'.
x = -2

Simplifying
x = -2