0.65x+.05(2-x)=.10(-50)

Solution for 0.65x+.05(2-x)=.10(-50) equation:

Simplifying
0.65x + 0.05(2 + -1x) = 0.10(-50)
0.65x + (2 * 0.05 + -1x * 0.05) = 0.10(-50)
0.65x + (0.1 + -0.05x) = 0.10(-50)

Reorder the terms:
0.1 + 0.65x + -0.05x = 0.10(-50)

Combine like terms: 0.65x + -0.05x = 0.6x
0.1 + 0.6x = 0.10(-50)

Multiply 0.10 * -50
0.1 + 0.6x = -5

Solving
0.1 + 0.6x = -5

Solving for variable 'x'.

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

Add '-0.1' to each side of the equation.
0.1 + -0.1 + 0.6x = -5 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + 0.6x = -5 + -0.1
0.6x = -5 + -0.1

Combine like terms: -5 + -0.1 = -5.1
0.6x = -5.1

Divide each side by '0.6'.
x = -8.5

Simplifying
x = -8.5