0.85x+0.05(4-x)=0.10(98)

Solution for 0.85x+0.05(4-x)=0.10(98) equation:

Simplifying
0.85x + 0.05(4 + -1x) = 0.10(98)
0.85x + (4 * 0.05 + -1x * 0.05) = 0.10(98)
0.85x + (0.2 + -0.05x) = 0.10(98)

Reorder the terms:
0.2 + 0.85x + -0.05x = 0.10(98)

Combine like terms: 0.85x + -0.05x = 0.8x
0.2 + 0.8x = 0.10(98)

Multiply 0.10 * 98
0.2 + 0.8x = 9.8

Solving
0.2 + 0.8x = 9.8

Solving for variable 'x'.

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

Add '-0.2' to each side of the equation.
0.2 + -0.2 + 0.8x = 9.8 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 0.8x = 9.8 + -0.2
0.8x = 9.8 + -0.2

Combine like terms: 9.8 + -0.2 = 9.6
0.8x = 9.6

Divide each side by '0.8'.
x = 12

Simplifying
x = 12