7(2t+6)=3(5t+7)

Solution for 7(2t+6)=3(5t+7) equation:

Simplifying
7(2t + 6) = 3(5t + 7)

Reorder the terms:
7(6 + 2t) = 3(5t + 7)
(6 * 7 + 2t * 7) = 3(5t + 7)
(42 + 14t) = 3(5t + 7)

Reorder the terms:
42 + 14t = 3(7 + 5t)
42 + 14t = (7 * 3 + 5t * 3)
42 + 14t = (21 + 15t)

Solving
42 + 14t = 21 + 15t

Solving for variable 't'.

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

Add '-15t' to each side of the equation.
42 + 14t + -15t = 21 + 15t + -15t

Combine like terms: 14t + -15t = -1t
42 + -1t = 21 + 15t + -15t

Combine like terms: 15t + -15t = 0
42 + -1t = 21 + 0
42 + -1t = 21

Add '-42' to each side of the equation.
42 + -42 + -1t = 21 + -42

Combine like terms: 42 + -42 = 0
0 + -1t = 21 + -42
-1t = 21 + -42

Combine like terms: 21 + -42 = -21
-1t = -21

Divide each side by '-1'.
t = 21

Simplifying
t = 21