0.70x+0.05(12-x)=0.10(71)

Solution for 0.70x+0.05(12-x)=0.10(71) equation:

Simplifying
0.70x + 0.05(12 + -1x) = 0.10(71)
0.70x + (12 * 0.05 + -1x * 0.05) = 0.10(71)
0.70x + (0.6 + -0.05x) = 0.10(71)

Reorder the terms:
0.6 + 0.70x + -0.05x = 0.10(71)

Combine like terms: 0.70x + -0.05x = 0.65x
0.6 + 0.65x = 0.10(71)

Multiply 0.10 * 71
0.6 + 0.65x = 7.1

Solving
0.6 + 0.65x = 7.1

Solving for variable 'x'.

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

Add '-0.6' to each side of the equation.
0.6 + -0.6 + 0.65x = 7.1 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 0.65x = 7.1 + -0.6
0.65x = 7.1 + -0.6

Combine like terms: 7.1 + -0.6 = 6.5
0.65x = 6.5

Divide each side by '0.65'.
x = 10

Simplifying
x = 10