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

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

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

Reorder the terms:
4(-2 + t) + -1(t + 3) = t + -1
(-2 * 4 + t * 4) + -1(t + 3) = t + -1
(-8 + 4t) + -1(t + 3) = t + -1

Reorder the terms:
-8 + 4t + -1(3 + t) = t + -1
-8 + 4t + (3 * -1 + t * -1) = t + -1
-8 + 4t + (-3 + -1t) = t + -1

Reorder the terms:
-8 + -3 + 4t + -1t = t + -1

Combine like terms: -8 + -3 = -11
-11 + 4t + -1t = t + -1

Combine like terms: 4t + -1t = 3t
-11 + 3t = t + -1

Reorder the terms:
-11 + 3t = -1 + t

Solving
-11 + 3t = -1 + t

Solving for variable 't'.

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

Add '-1t' to each side of the equation.
-11 + 3t + -1t = -1 + t + -1t

Combine like terms: 3t + -1t = 2t
-11 + 2t = -1 + t + -1t

Combine like terms: t + -1t = 0
-11 + 2t = -1 + 0
-11 + 2t = -1

Add '11' to each side of the equation.
-11 + 11 + 2t = -1 + 11

Combine like terms: -11 + 11 = 0
0 + 2t = -1 + 11
2t = -1 + 11

Combine like terms: -1 + 11 = 10
2t = 10

Divide each side by '2'.
t = 5

Simplifying
t = 5