3t+4=t+13

Solution for 3t+4=t+13 equation:

Simplifying
3t + 4 = t + 13

Reorder the terms:
4 + 3t = t + 13

Reorder the terms:
4 + 3t = 13 + t

Solving
4 + 3t = 13 + t

Solving for variable 't'.

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

Add '-1t' to each side of the equation.
4 + 3t + -1t = 13 + t + -1t

Combine like terms: 3t + -1t = 2t
4 + 2t = 13 + t + -1t

Combine like terms: t + -1t = 0
4 + 2t = 13 + 0
4 + 2t = 13

Add '-4' to each side of the equation.
4 + -4 + 2t = 13 + -4

Combine like terms: 4 + -4 = 0
0 + 2t = 13 + -4
2t = 13 + -4

Combine like terms: 13 + -4 = 9
2t = 9

Divide each side by '2'.
t = 4.5

Simplifying
t = 4.5