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

Solution for 4(t-3)-3(t-2)=2t+8 equation:

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

Reorder the terms:
4(-3 + t) + -3(t + -2) = 2t + 8
(-3 * 4 + t * 4) + -3(t + -2) = 2t + 8
(-12 + 4t) + -3(t + -2) = 2t + 8

Reorder the terms:
-12 + 4t + -3(-2 + t) = 2t + 8
-12 + 4t + (-2 * -3 + t * -3) = 2t + 8
-12 + 4t + (6 + -3t) = 2t + 8

Reorder the terms:
-12 + 6 + 4t + -3t = 2t + 8

Combine like terms: -12 + 6 = -6
-6 + 4t + -3t = 2t + 8

Combine like terms: 4t + -3t = 1t
-6 + 1t = 2t + 8

Reorder the terms:
-6 + 1t = 8 + 2t

Solving
-6 + 1t = 8 + 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.
-6 + 1t + -2t = 8 + 2t + -2t

Combine like terms: 1t + -2t = -1t
-6 + -1t = 8 + 2t + -2t

Combine like terms: 2t + -2t = 0
-6 + -1t = 8 + 0
-6 + -1t = 8

Add '6' to each side of the equation.
-6 + 6 + -1t = 8 + 6

Combine like terms: -6 + 6 = 0
0 + -1t = 8 + 6
-1t = 8 + 6

Combine like terms: 8 + 6 = 14
-1t = 14

Divide each side by '-1'.
t = -14

Simplifying
t = -14