42.42=.5(36.7+T)

Solution for 42.42=.5(36.7+T) equation:

Simplifying
42.42 = 0.5(36.7 + T)
42.42 = (36.7 * 0.5 + T * 0.5)
42.42 = (18.35 + 0.5T)

Solving
42.42 = 18.35 + 0.5T

Solving for variable 'T'.

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

Add '-0.5T' to each side of the equation.
42.42 + -0.5T = 18.35 + 0.5T + -0.5T

Combine like terms: 0.5T + -0.5T = 0.0
42.42 + -0.5T = 18.35 + 0.0
42.42 + -0.5T = 18.35

Add '-42.42' to each side of the equation.
42.42 + -42.42 + -0.5T = 18.35 + -42.42

Combine like terms: 42.42 + -42.42 = 0.00
0.00 + -0.5T = 18.35 + -42.42
-0.5T = 18.35 + -42.42

Combine like terms: 18.35 + -42.42 = -24.07
-0.5T = -24.07

Divide each side by '-0.5'.
T = 48.14

Simplifying
T = 48.14