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

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

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

Reorder the terms:
5(18 + t) = -3(2 + -1t)
(18 * 5 + t * 5) = -3(2 + -1t)
(90 + 5t) = -3(2 + -1t)
90 + 5t = (2 * -3 + -1t * -3)
90 + 5t = (-6 + 3t)

Solving
90 + 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.
90 + 5t + -3t = -6 + 3t + -3t

Combine like terms: 5t + -3t = 2t
90 + 2t = -6 + 3t + -3t

Combine like terms: 3t + -3t = 0
90 + 2t = -6 + 0
90 + 2t = -6

Add '-90' to each side of the equation.
90 + -90 + 2t = -6 + -90

Combine like terms: 90 + -90 = 0
0 + 2t = -6 + -90
2t = -6 + -90

Combine like terms: -6 + -90 = -96
2t = -96

Divide each side by '2'.
t = -48

Simplifying
t = -48