3(t-2)+1=7-2(t+2)

Solution for 3(t-2)+1=7-2(t+2) equation:

Simplifying
3(t + -2) + 1 = 7 + -2(t + 2)

Reorder the terms:
3(-2 + t) + 1 = 7 + -2(t + 2)
(-2 * 3 + t * 3) + 1 = 7 + -2(t + 2)
(-6 + 3t) + 1 = 7 + -2(t + 2)

Reorder the terms:
-6 + 1 + 3t = 7 + -2(t + 2)

Combine like terms: -6 + 1 = -5
-5 + 3t = 7 + -2(t + 2)

Reorder the terms:
-5 + 3t = 7 + -2(2 + t)
-5 + 3t = 7 + (2 * -2 + t * -2)
-5 + 3t = 7 + (-4 + -2t)

Combine like terms: 7 + -4 = 3
-5 + 3t = 3 + -2t

Solving
-5 + 3t = 3 + -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.
-5 + 3t + 2t = 3 + -2t + 2t

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

Combine like terms: -2t + 2t = 0
-5 + 5t = 3 + 0
-5 + 5t = 3

Add '5' to each side of the equation.
-5 + 5 + 5t = 3 + 5

Combine like terms: -5 + 5 = 0
0 + 5t = 3 + 5
5t = 3 + 5

Combine like terms: 3 + 5 = 8
5t = 8

Divide each side by '5'.
t = 1.6

Simplifying
t = 1.6