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

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

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

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

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

Combine like terms: 3t + -3t = 0
-3 + 0 = t + 2(t + 1) * 1
-3 = t + 2(t + 1) * 1

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

Reorder the terms for easier multiplication:
-3 = t + 2 * 1(1 + t)

Multiply 2 * 1
-3 = t + 2(1 + t)
-3 = t + (1 * 2 + t * 2)
-3 = t + (2 + 2t)

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

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

Solving
-3 = 2 + 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
-3 + -3t = 2 + 3t + -3t

Combine like terms: 3t + -3t = 0
-3 + -3t = 2 + 0
-3 + -3t = 2

Add '3' to each side of the equation.
-3 + 3 + -3t = 2 + 3

Combine like terms: -3 + 3 = 0
0 + -3t = 2 + 3
-3t = 2 + 3

Combine like terms: 2 + 3 = 5
-3t = 5

Divide each side by '-3'.
t = -1.666666667

Simplifying
t = -1.666666667