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

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

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

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

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

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

Reorder the terms:
2 + -1t = -6 + t + 2t

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

Solving
2 + -1t = -6 + 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.
2 + -1t + -3t = -6 + 3t + -3t

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

Combine like terms: 3t + -3t = 0
2 + -4t = -6 + 0
2 + -4t = -6

Add '-2' to each side of the equation.
2 + -2 + -4t = -6 + -2

Combine like terms: 2 + -2 = 0
0 + -4t = -6 + -2
-4t = -6 + -2

Combine like terms: -6 + -2 = -8
-4t = -8

Divide each side by '-4'.
t = 2

Simplifying
t = 2