42=18T+4[T+5]

Solution for 42=18T+4[T+5] equation:

Simplifying
42 = 18T + 4[T + 5]

Reorder the terms:
42 = 18T + 4[5 + T]
42 = 18T + [5 * 4 + T * 4]
42 = 18T + [20 + 4T]

Reorder the terms:
42 = 20 + 18T + 4T

Combine like terms: 18T + 4T = 22T
42 = 20 + 22T

Solving
42 = 20 + 22T

Solving for variable 'T'.

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

Add '-22T' to each side of the equation.
42 + -22T = 20 + 22T + -22T

Combine like terms: 22T + -22T = 0
42 + -22T = 20 + 0
42 + -22T = 20

Add '-42' to each side of the equation.
42 + -42 + -22T = 20 + -42

Combine like terms: 42 + -42 = 0
0 + -22T = 20 + -42
-22T = 20 + -42

Combine like terms: 20 + -42 = -22
-22T = -22

Divide each side by '-22'.
T = 1

Simplifying
T = 1