0.65x+0.05(10-x)=0.10(-55)

Solution for 0.65x+0.05(10-x)=0.10(-55) equation:

Simplifying
0.65x + 0.05(10 + -1x) = 0.10(-55)
0.65x + (10 * 0.05 + -1x * 0.05) = 0.10(-55)
0.65x + (0.5 + -0.05x) = 0.10(-55)

Reorder the terms:
0.5 + 0.65x + -0.05x = 0.10(-55)

Combine like terms: 0.65x + -0.05x = 0.6x
0.5 + 0.6x = 0.10(-55)

Multiply 0.10 * -55
0.5 + 0.6x = -5.5

Solving
0.5 + 0.6x = -5.5

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 + 0.6x = -5.5 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 0.6x = -5.5 + -0.5
0.6x = -5.5 + -0.5

Combine like terms: -5.5 + -0.5 = -6
0.6x = -6

Divide each side by '0.6'.
x = -10

Simplifying
x = -10