5t+3=2(t+6)

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

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

Reorder the terms:
3 + 5t = 2(t + 6)

Reorder the terms:
3 + 5t = 2(6 + t)
3 + 5t = (6 * 2 + t * 2)
3 + 5t = (12 + 2t)

Solving
3 + 5t = 12 + 2t

Solving for variable 't'.

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

Add '-2t' to each side of the equation.
3 + 5t + -2t = 12 + 2t + -2t

Combine like terms: 5t + -2t = 3t
3 + 3t = 12 + 2t + -2t

Combine like terms: 2t + -2t = 0
3 + 3t = 12 + 0
3 + 3t = 12

Add '-3' to each side of the equation.
3 + -3 + 3t = 12 + -3

Combine like terms: 3 + -3 = 0
0 + 3t = 12 + -3
3t = 12 + -3

Combine like terms: 12 + -3 = 9
3t = 9

Divide each side by '3'.
t = 3

Simplifying
t = 3