5-(t+3)6=-1+2(t-3)

Solution for 5-(t+3)6=-1+2(t-3) equation:

Simplifying
5 + -1(t + 3) * 6 = -1 + 2(t + -3)

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

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

Multiply -1 * 6
5 + -6(3 + t) = -1 + 2(t + -3)
5 + (3 * -6 + t * -6) = -1 + 2(t + -3)
5 + (-18 + -6t) = -1 + 2(t + -3)

Combine like terms: 5 + -18 = -13
-13 + -6t = -1 + 2(t + -3)

Reorder the terms:
-13 + -6t = -1 + 2(-3 + t)
-13 + -6t = -1 + (-3 * 2 + t * 2)
-13 + -6t = -1 + (-6 + 2t)

Combine like terms: -1 + -6 = -7
-13 + -6t = -7 + 2t

Solving
-13 + -6t = -7 + 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.
-13 + -6t + -2t = -7 + 2t + -2t

Combine like terms: -6t + -2t = -8t
-13 + -8t = -7 + 2t + -2t

Combine like terms: 2t + -2t = 0
-13 + -8t = -7 + 0
-13 + -8t = -7

Add '13' to each side of the equation.
-13 + 13 + -8t = -7 + 13

Combine like terms: -13 + 13 = 0
0 + -8t = -7 + 13
-8t = -7 + 13

Combine like terms: -7 + 13 = 6
-8t = 6

Divide each side by '-8'.
t = -0.75

Simplifying
t = -0.75