0.35t+0.65(10-t)=0.55(10)

Solution for 0.35t+0.65(10-t)=0.55(10) equation:

Simplifying
0.35t + 0.65(10 + -1t) = 0.55(10)
0.35t + (10 * 0.65 + -1t * 0.65) = 0.55(10)
0.35t + (6.5 + -0.65t) = 0.55(10)

Reorder the terms:
6.5 + 0.35t + -0.65t = 0.55(10)

Combine like terms: 0.35t + -0.65t = -0.3t
6.5 + -0.3t = 0.55(10)

Multiply 0.55 * 10
6.5 + -0.3t = 5.5

Solving
6.5 + -0.3t = 5.5

Solving for variable 't'.

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

Add '-6.5' to each side of the equation.
6.5 + -6.5 + -0.3t = 5.5 + -6.5

Combine like terms: 6.5 + -6.5 = 0.0
0.0 + -0.3t = 5.5 + -6.5
-0.3t = 5.5 + -6.5

Combine like terms: 5.5 + -6.5 = -1
-0.3t = -1

Divide each side by '-0.3'.
t = 3.333333333

Simplifying
t = 3.333333333