3(7t-14)=-21t+42

Solution for 3(7t-14)=-21t+42 equation:

Simplifying
3(7t + -14) = -21t + 42

Reorder the terms:
3(-14 + 7t) = -21t + 42
(-14 * 3 + 7t * 3) = -21t + 42
(-42 + 21t) = -21t + 42

Reorder the terms:
-42 + 21t = 42 + -21t

Solving
-42 + 21t = 42 + -21t

Solving for variable 't'.

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

Add '21t' to each side of the equation.
-42 + 21t + 21t = 42 + -21t + 21t

Combine like terms: 21t + 21t = 42t
-42 + 42t = 42 + -21t + 21t

Combine like terms: -21t + 21t = 0
-42 + 42t = 42 + 0
-42 + 42t = 42

Add '42' to each side of the equation.
-42 + 42 + 42t = 42 + 42

Combine like terms: -42 + 42 = 0
0 + 42t = 42 + 42
42t = 42 + 42

Combine like terms: 42 + 42 = 84
42t = 84

Divide each side by '42'.
t = 2

Simplifying
t = 2