3-5(t+18)=-3(2-t)

Solution for 3-5(t+18)=-3(2-t) equation:

Simplifying
3 + -5(t + 18) = -3(2 + -1t)

Reorder the terms:
3 + -5(18 + t) = -3(2 + -1t)
3 + (18 * -5 + t * -5) = -3(2 + -1t)
3 + (-90 + -5t) = -3(2 + -1t)

Combine like terms: 3 + -90 = -87
-87 + -5t = -3(2 + -1t)
-87 + -5t = (2 * -3 + -1t * -3)
-87 + -5t = (-6 + 3t)

Solving
-87 + -5t = -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.
-87 + -5t + -3t = -6 + 3t + -3t

Combine like terms: -5t + -3t = -8t
-87 + -8t = -6 + 3t + -3t

Combine like terms: 3t + -3t = 0
-87 + -8t = -6 + 0
-87 + -8t = -6

Add '87' to each side of the equation.
-87 + 87 + -8t = -6 + 87

Combine like terms: -87 + 87 = 0
0 + -8t = -6 + 87
-8t = -6 + 87

Combine like terms: -6 + 87 = 81
-8t = 81

Divide each side by '-8'.
t = -10.125

Simplifying
t = -10.125