3(t-11)=2(t+8)

Solution for 3(t-11)=2(t+8) equation:

Simplifying
3(t + -11) = 2(t + 8)

Reorder the terms:
3(-11 + t) = 2(t + 8)
(-11 * 3 + t * 3) = 2(t + 8)
(-33 + 3t) = 2(t + 8)

Reorder the terms:
-33 + 3t = 2(8 + t)
-33 + 3t = (8 * 2 + t * 2)
-33 + 3t = (16 + 2t)

Solving
-33 + 3t = 16 + 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.
-33 + 3t + -2t = 16 + 2t + -2t

Combine like terms: 3t + -2t = 1t
-33 + 1t = 16 + 2t + -2t

Combine like terms: 2t + -2t = 0
-33 + 1t = 16 + 0
-33 + 1t = 16

Add '33' to each side of the equation.
-33 + 33 + 1t = 16 + 33

Combine like terms: -33 + 33 = 0
0 + 1t = 16 + 33
1t = 16 + 33

Combine like terms: 16 + 33 = 49
1t = 49

Divide each side by '1'.
t = 49

Simplifying
t = 49