6(2+-3)=3(t+5)

Solution for 6(2+-3)=3(t+5) equation:

Simplifying
6(2 + -3) = 3(t + 5)

Combine like terms: 2 + -3 = -1
6(-1) = 3(t + 5)

Multiply 6 * -1
-6 = 3(t + 5)

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

Solving
-6 = 15 + 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 + -3t = 15 + 3t + -3t

Combine like terms: 3t + -3t = 0
-6 + -3t = 15 + 0
-6 + -3t = 15

Add '6' to each side of the equation.
-6 + 6 + -3t = 15 + 6

Combine like terms: -6 + 6 = 0
0 + -3t = 15 + 6
-3t = 15 + 6

Combine like terms: 15 + 6 = 21
-3t = 21

Divide each side by '-3'.
t = -7

Simplifying
t = -7