0.70x+.05(6-x)=.10(16)

Solution for 0.70x+.05(6-x)=.10(16) equation:

Simplifying
0.70x + 0.05(6 + -1x) = 0.10(16)
0.70x + (6 * 0.05 + -1x * 0.05) = 0.10(16)
0.70x + (0.3 + -0.05x) = 0.10(16)

Reorder the terms:
0.3 + 0.70x + -0.05x = 0.10(16)

Combine like terms: 0.70x + -0.05x = 0.65x
0.3 + 0.65x = 0.10(16)

Multiply 0.10 * 16
0.3 + 0.65x = 1.6

Solving
0.3 + 0.65x = 1.6

Solving for variable 'x'.

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

Add '-0.3' to each side of the equation.
0.3 + -0.3 + 0.65x = 1.6 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + 0.65x = 1.6 + -0.3
0.65x = 1.6 + -0.3

Combine like terms: 1.6 + -0.3 = 1.3
0.65x = 1.3

Divide each side by '0.65'.
x = 2

Simplifying
x = 2