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

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

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

Reorder the terms:
2(-1 + 3t) + -5 = t + -1(t + 2)
(-1 * 2 + 3t * 2) + -5 = t + -1(t + 2)
(-2 + 6t) + -5 = t + -1(t + 2)

Reorder the terms:
-2 + -5 + 6t = t + -1(t + 2)

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

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

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

Combine like terms: t + -1t = 0
-7 + 6t = -2 + 0
-7 + 6t = -2

Solving
-7 + 6t = -2

Solving for variable 't'.

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

Add '7' to each side of the equation.
-7 + 7 + 6t = -2 + 7

Combine like terms: -7 + 7 = 0
0 + 6t = -2 + 7
6t = -2 + 7

Combine like terms: -2 + 7 = 5
6t = 5

Divide each side by '6'.
t = 0.8333333333

Simplifying
t = 0.8333333333