.90x+0.05(6-x)=0.10(71)

Solution for .90x+0.05(6-x)=0.10(71) equation:

Simplifying
0.90x + 0.05(6 + -1x) = 0.10(71)
0.90x + (6 * 0.05 + -1x * 0.05) = 0.10(71)
0.90x + (0.3 + -0.05x) = 0.10(71)

Reorder the terms:
0.3 + 0.90x + -0.05x = 0.10(71)

Combine like terms: 0.90x + -0.05x = 0.85x
0.3 + 0.85x = 0.10(71)

Multiply 0.10 * 71
0.3 + 0.85x = 7.1

Solving
0.3 + 0.85x = 7.1

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 + 0.85x = 7.1 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + 0.85x = 7.1 + -0.3
0.85x = 7.1 + -0.3

Combine like terms: 7.1 + -0.3 = 6.8
0.85x = 6.8

Divide each side by '0.85'.
x = 8

Simplifying
x = 8