5-3(t+3)=1+2(t-3)

Solution for 5-3(t+3)=1+2(t-3) equation:

Simplifying
5 + -3(t + 3) = 1 + 2(t + -3)

Reorder the terms:
5 + -3(3 + t) = 1 + 2(t + -3)
5 + (3 * -3 + t * -3) = 1 + 2(t + -3)
5 + (-9 + -3t) = 1 + 2(t + -3)

Combine like terms: 5 + -9 = -4
-4 + -3t = 1 + 2(t + -3)

Reorder the terms:
-4 + -3t = 1 + 2(-3 + t)
-4 + -3t = 1 + (-3 * 2 + t * 2)
-4 + -3t = 1 + (-6 + 2t)

Combine like terms: 1 + -6 = -5
-4 + -3t = -5 + 2t

Solving
-4 + -3t = -5 + 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.
-4 + -3t + -2t = -5 + 2t + -2t

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

Combine like terms: 2t + -2t = 0
-4 + -5t = -5 + 0
-4 + -5t = -5

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

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

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

Divide each side by '-5'.
t = 0.2

Simplifying
t = 0.2