0.75x+0.05(6-x)=0.10(59)

Solution for 0.75x+0.05(6-x)=0.10(59) equation:

Simplifying
0.75x + 0.05(6 + -1x) = 0.10(59)
0.75x + (6 * 0.05 + -1x * 0.05) = 0.10(59)
0.75x + (0.3 + -0.05x) = 0.10(59)

Reorder the terms:
0.3 + 0.75x + -0.05x = 0.10(59)

Combine like terms: 0.75x + -0.05x = 0.7x
0.3 + 0.7x = 0.10(59)

Multiply 0.10 * 59
0.3 + 0.7x = 5.9

Solving
0.3 + 0.7x = 5.9

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 + 0.7x = 5.9 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + 0.7x = 5.9 + -0.3
0.7x = 5.9 + -0.3

Combine like terms: 5.9 + -0.3 = 5.6
0.7x = 5.6

Divide each side by '0.7'.
x = 8

Simplifying
x = 8