5(t+1)+8(7-3t)=-20(t-3)+2

Solution for 5(t+1)+8(7-3t)=-20(t-3)+2 equation:

Simplifying
5(t + 1) + 8(7 + -3t) = -20(t + -3) + 2

Reorder the terms:
5(1 + t) + 8(7 + -3t) = -20(t + -3) + 2
(1 * 5 + t * 5) + 8(7 + -3t) = -20(t + -3) + 2
(5 + 5t) + 8(7 + -3t) = -20(t + -3) + 2
5 + 5t + (7 * 8 + -3t * 8) = -20(t + -3) + 2
5 + 5t + (56 + -24t) = -20(t + -3) + 2

Reorder the terms:
5 + 56 + 5t + -24t = -20(t + -3) + 2

Combine like terms: 5 + 56 = 61
61 + 5t + -24t = -20(t + -3) + 2

Combine like terms: 5t + -24t = -19t
61 + -19t = -20(t + -3) + 2

Reorder the terms:
61 + -19t = -20(-3 + t) + 2
61 + -19t = (-3 * -20 + t * -20) + 2
61 + -19t = (60 + -20t) + 2

Reorder the terms:
61 + -19t = 60 + 2 + -20t

Combine like terms: 60 + 2 = 62
61 + -19t = 62 + -20t

Solving
61 + -19t = 62 + -20t

Solving for variable 't'.

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

Add '20t' to each side of the equation.
61 + -19t + 20t = 62 + -20t + 20t

Combine like terms: -19t + 20t = 1t
61 + 1t = 62 + -20t + 20t

Combine like terms: -20t + 20t = 0
61 + 1t = 62 + 0
61 + 1t = 62

Add '-61' to each side of the equation.
61 + -61 + 1t = 62 + -61

Combine like terms: 61 + -61 = 0
0 + 1t = 62 + -61
1t = 62 + -61

Combine like terms: 62 + -61 = 1
1t = 1

Divide each side by '1'.
t = 1

Simplifying
t = 1