2(t-1)-3(t-4)=4t

Solution for 2(t-1)-3(t-4)=4t equation:

Simplifying
2(t + -1) + -3(t + -4) = 4t

Reorder the terms:
2(-1 + t) + -3(t + -4) = 4t
(-1 * 2 + t * 2) + -3(t + -4) = 4t
(-2 + 2t) + -3(t + -4) = 4t

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

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

Combine like terms: -2 + 12 = 10
10 + 2t + -3t = 4t

Combine like terms: 2t + -3t = -1t
10 + -1t = 4t

Solving
10 + -1t = 4t

Solving for variable 't'.

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

Add '-4t' to each side of the equation.
10 + -1t + -4t = 4t + -4t

Combine like terms: -1t + -4t = -5t
10 + -5t = 4t + -4t

Combine like terms: 4t + -4t = 0
10 + -5t = 0

Add '-10' to each side of the equation.
10 + -10 + -5t = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -5t = 0 + -10
-5t = 0 + -10

Combine like terms: 0 + -10 = -10
-5t = -10

Divide each side by '-5'.
t = 2

Simplifying
t = 2