0.85x+0.15(10-x)=0.37(10)

Solution for 0.85x+0.15(10-x)=0.37(10) equation:

Simplifying
0.85x + 0.15(10 + -1x) = 0.37(10)
0.85x + (10 * 0.15 + -1x * 0.15) = 0.37(10)
0.85x + (1.5 + -0.15x) = 0.37(10)

Reorder the terms:
1.5 + 0.85x + -0.15x = 0.37(10)

Combine like terms: 0.85x + -0.15x = 0.7x
1.5 + 0.7x = 0.37(10)

Multiply 0.37 * 10
1.5 + 0.7x = 3.7

Solving
1.5 + 0.7x = 3.7

Solving for variable 'x'.

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + 0.7x = 3.7 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 0.7x = 3.7 + -1.5
0.7x = 3.7 + -1.5

Combine like terms: 3.7 + -1.5 = 2.2
0.7x = 2.2

Divide each side by '0.7'.
x = 3.142857143

Simplifying
x = 3.142857143