2t+6=3t-7

Solution for 2t+6=3t-7 equation:

Simplifying
2t + 6 = 3t + -7

Reorder the terms:
6 + 2t = 3t + -7

Reorder the terms:
6 + 2t = -7 + 3t

Solving
6 + 2t = -7 + 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
6 + 2t + -3t = -7 + 3t + -3t

Combine like terms: 2t + -3t = -1t
6 + -1t = -7 + 3t + -3t

Combine like terms: 3t + -3t = 0
6 + -1t = -7 + 0
6 + -1t = -7

Add '-6' to each side of the equation.
6 + -6 + -1t = -7 + -6

Combine like terms: 6 + -6 = 0
0 + -1t = -7 + -6
-1t = -7 + -6

Combine like terms: -7 + -6 = -13
-1t = -13

Divide each side by '-1'.
t = 13

Simplifying
t = 13