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

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

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

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

Combine like terms: 3 + -8 = -5
-5 + 4t = 2t + -3(t + 4)

Reorder the terms:
-5 + 4t = 2t + -3(4 + t)
-5 + 4t = 2t + (4 * -3 + t * -3)
-5 + 4t = 2t + (-12 + -3t)

Reorder the terms:
-5 + 4t = -12 + 2t + -3t

Combine like terms: 2t + -3t = -1t
-5 + 4t = -12 + -1t

Solving
-5 + 4t = -12 + -1t

Solving for variable 't'.

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

Add 't' to each side of the equation.
-5 + 4t + t = -12 + -1t + t

Combine like terms: 4t + t = 5t
-5 + 5t = -12 + -1t + t

Combine like terms: -1t + t = 0
-5 + 5t = -12 + 0
-5 + 5t = -12

Add '5' to each side of the equation.
-5 + 5 + 5t = -12 + 5

Combine like terms: -5 + 5 = 0
0 + 5t = -12 + 5
5t = -12 + 5

Combine like terms: -12 + 5 = -7
5t = -7

Divide each side by '5'.
t = -1.4

Simplifying
t = -1.4