4t-6=5(t+6)

Solution for 4t-6=5(t+6) equation:

Simplifying
4t + -6 = 5(t + 6)

Reorder the terms:
-6 + 4t = 5(t + 6)

Reorder the terms:
-6 + 4t = 5(6 + t)
-6 + 4t = (6 * 5 + t * 5)
-6 + 4t = (30 + 5t)

Solving
-6 + 4t = 30 + 5t

Solving for variable 't'.

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

Add '-5t' to each side of the equation.
-6 + 4t + -5t = 30 + 5t + -5t

Combine like terms: 4t + -5t = -1t
-6 + -1t = 30 + 5t + -5t

Combine like terms: 5t + -5t = 0
-6 + -1t = 30 + 0
-6 + -1t = 30

Add '6' to each side of the equation.
-6 + 6 + -1t = 30 + 6

Combine like terms: -6 + 6 = 0
0 + -1t = 30 + 6
-1t = 30 + 6

Combine like terms: 30 + 6 = 36
-1t = 36

Divide each side by '-1'.
t = -36

Simplifying
t = -36