3(t+3)-9=2(t-4)+3

Solution for 3(t+3)-9=2(t-4)+3 equation:

Simplifying
3(t + 3) + -9 = 2(t + -4) + 3

Reorder the terms:
3(3 + t) + -9 = 2(t + -4) + 3
(3 * 3 + t * 3) + -9 = 2(t + -4) + 3
(9 + 3t) + -9 = 2(t + -4) + 3

Reorder the terms:
9 + -9 + 3t = 2(t + -4) + 3

Combine like terms: 9 + -9 = 0
0 + 3t = 2(t + -4) + 3
3t = 2(t + -4) + 3

Reorder the terms:
3t = 2(-4 + t) + 3
3t = (-4 * 2 + t * 2) + 3
3t = (-8 + 2t) + 3

Reorder the terms:
3t = -8 + 3 + 2t

Combine like terms: -8 + 3 = -5
3t = -5 + 2t

Solving
3t = -5 + 2t

Solving for variable 't'.

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

Add '-2t' to each side of the equation.
3t + -2t = -5 + 2t + -2t

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

Combine like terms: 2t + -2t = 0
1t = -5 + 0
1t = -5

Divide each side by '1'.
t = -5

Simplifying
t = -5