6(t+1)=9(t-4)

Solution for 6(t+1)=9(t-4) equation:

Simplifying
6(t + 1) = 9(t + -4)

Reorder the terms:
6(1 + t) = 9(t + -4)
(1 * 6 + t * 6) = 9(t + -4)
(6 + 6t) = 9(t + -4)

Reorder the terms:
6 + 6t = 9(-4 + t)
6 + 6t = (-4 * 9 + t * 9)
6 + 6t = (-36 + 9t)

Solving
6 + 6t = -36 + 9t

Solving for variable 't'.

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

Add '-9t' to each side of the equation.
6 + 6t + -9t = -36 + 9t + -9t

Combine like terms: 6t + -9t = -3t
6 + -3t = -36 + 9t + -9t

Combine like terms: 9t + -9t = 0
6 + -3t = -36 + 0
6 + -3t = -36

Add '-6' to each side of the equation.
6 + -6 + -3t = -36 + -6

Combine like terms: 6 + -6 = 0
0 + -3t = -36 + -6
-3t = -36 + -6

Combine like terms: -36 + -6 = -42
-3t = -42

Divide each side by '-3'.
t = 14

Simplifying
t = 14