0.65x+0.05(8-x)=0.10(16)

Solution for 0.65x+0.05(8-x)=0.10(16) equation:

Simplifying
0.65x + 0.05(8 + -1x) = 0.10(16)
0.65x + (8 * 0.05 + -1x * 0.05) = 0.10(16)
0.65x + (0.4 + -0.05x) = 0.10(16)

Reorder the terms:
0.4 + 0.65x + -0.05x = 0.10(16)

Combine like terms: 0.65x + -0.05x = 0.6x
0.4 + 0.6x = 0.10(16)

Multiply 0.10 * 16
0.4 + 0.6x = 1.6

Solving
0.4 + 0.6x = 1.6

Solving for variable 'x'.

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

Add '-0.4' to each side of the equation.
0.4 + -0.4 + 0.6x = 1.6 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + 0.6x = 1.6 + -0.4
0.6x = 1.6 + -0.4

Combine like terms: 1.6 + -0.4 = 1.2
0.6x = 1.2

Divide each side by '0.6'.
x = 2

Simplifying
x = 2