5(t-14)+3(t+6)=-2(t+5)-2

Solution for 5(t-14)+3(t+6)=-2(t+5)-2 equation:

Simplifying
5(t + -14) + 3(t + 6) = -2(t + 5) + -2

Reorder the terms:
5(-14 + t) + 3(t + 6) = -2(t + 5) + -2
(-14 * 5 + t * 5) + 3(t + 6) = -2(t + 5) + -2
(-70 + 5t) + 3(t + 6) = -2(t + 5) + -2

Reorder the terms:
-70 + 5t + 3(6 + t) = -2(t + 5) + -2
-70 + 5t + (6 * 3 + t * 3) = -2(t + 5) + -2
-70 + 5t + (18 + 3t) = -2(t + 5) + -2

Reorder the terms:
-70 + 18 + 5t + 3t = -2(t + 5) + -2

Combine like terms: -70 + 18 = -52
-52 + 5t + 3t = -2(t + 5) + -2

Combine like terms: 5t + 3t = 8t
-52 + 8t = -2(t + 5) + -2

Reorder the terms:
-52 + 8t = -2(5 + t) + -2
-52 + 8t = (5 * -2 + t * -2) + -2
-52 + 8t = (-10 + -2t) + -2

Reorder the terms:
-52 + 8t = -10 + -2 + -2t

Combine like terms: -10 + -2 = -12
-52 + 8t = -12 + -2t

Solving
-52 + 8t = -12 + -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.
-52 + 8t + 2t = -12 + -2t + 2t

Combine like terms: 8t + 2t = 10t
-52 + 10t = -12 + -2t + 2t

Combine like terms: -2t + 2t = 0
-52 + 10t = -12 + 0
-52 + 10t = -12

Add '52' to each side of the equation.
-52 + 52 + 10t = -12 + 52

Combine like terms: -52 + 52 = 0
0 + 10t = -12 + 52
10t = -12 + 52

Combine like terms: -12 + 52 = 40
10t = 40

Divide each side by '10'.
t = 4

Simplifying
t = 4