3(t+5)+5(2t+8)=12(t+2)+2

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Solution for 3(t+5)+5(2t+8)=12(t+2)+2 equation:


Simplifying
3(t + 5) + 5(2t + 8) = 12(t + 2) + 2

Reorder the terms:
3(5 + t) + 5(2t + 8) = 12(t + 2) + 2
(5 * 3 + t * 3) + 5(2t + 8) = 12(t + 2) + 2
(15 + 3t) + 5(2t + 8) = 12(t + 2) + 2

Reorder the terms:
15 + 3t + 5(8 + 2t) = 12(t + 2) + 2
15 + 3t + (8 * 5 + 2t * 5) = 12(t + 2) + 2
15 + 3t + (40 + 10t) = 12(t + 2) + 2

Reorder the terms:
15 + 40 + 3t + 10t = 12(t + 2) + 2

Combine like terms: 15 + 40 = 55
55 + 3t + 10t = 12(t + 2) + 2

Combine like terms: 3t + 10t = 13t
55 + 13t = 12(t + 2) + 2

Reorder the terms:
55 + 13t = 12(2 + t) + 2
55 + 13t = (2 * 12 + t * 12) + 2
55 + 13t = (24 + 12t) + 2

Reorder the terms:
55 + 13t = 24 + 2 + 12t

Combine like terms: 24 + 2 = 26
55 + 13t = 26 + 12t

Solving
55 + 13t = 26 + 12t

Solving for variable 't'.

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

Add '-12t' to each side of the equation.
55 + 13t + -12t = 26 + 12t + -12t

Combine like terms: 13t + -12t = 1t
55 + 1t = 26 + 12t + -12t

Combine like terms: 12t + -12t = 0
55 + 1t = 26 + 0
55 + 1t = 26

Add '-55' to each side of the equation.
55 + -55 + 1t = 26 + -55

Combine like terms: 55 + -55 = 0
0 + 1t = 26 + -55
1t = 26 + -55

Combine like terms: 26 + -55 = -29
1t = -29

Divide each side by '1'.
t = -29

Simplifying
t = -29

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