0.90x+0.05(18-x)=0.10(77)

Solution for 0.90x+0.05(18-x)=0.10(77) equation:

Simplifying
0.90x + 0.05(18 + -1x) = 0.10(77)
0.90x + (18 * 0.05 + -1x * 0.05) = 0.10(77)
0.90x + (0.9 + -0.05x) = 0.10(77)

Reorder the terms:
0.9 + 0.90x + -0.05x = 0.10(77)

Combine like terms: 0.90x + -0.05x = 0.85x
0.9 + 0.85x = 0.10(77)

Multiply 0.10 * 77
0.9 + 0.85x = 7.7

Solving
0.9 + 0.85x = 7.7

Solving for variable 'x'.

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

Add '-0.9' to each side of the equation.
0.9 + -0.9 + 0.85x = 7.7 + -0.9

Combine like terms: 0.9 + -0.9 = 0.0
0.0 + 0.85x = 7.7 + -0.9
0.85x = 7.7 + -0.9

Combine like terms: 7.7 + -0.9 = 6.8
0.85x = 6.8

Divide each side by '0.85'.
x = 8

Simplifying
x = 8