4t-6=5(t+3)

Solution for 4t-6=5(t+3) equation:

Simplifying
4t + -6 = 5(t + 3)

Reorder the terms:
-6 + 4t = 5(t + 3)

Reorder the terms:
-6 + 4t = 5(3 + t)
-6 + 4t = (3 * 5 + t * 5)
-6 + 4t = (15 + 5t)

Solving
-6 + 4t = 15 + 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 = 15 + 5t + -5t

Combine like terms: 4t + -5t = -1t
-6 + -1t = 15 + 5t + -5t

Combine like terms: 5t + -5t = 0
-6 + -1t = 15 + 0
-6 + -1t = 15

Add '6' to each side of the equation.
-6 + 6 + -1t = 15 + 6

Combine like terms: -6 + 6 = 0
0 + -1t = 15 + 6
-1t = 15 + 6

Combine like terms: 15 + 6 = 21
-1t = 21

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

Simplifying
t = -21