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

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


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

Reorder the terms:
3(-5 + t) + 2(2t + 1) = 8
(-5 * 3 + t * 3) + 2(2t + 1) = 8
(-15 + 3t) + 2(2t + 1) = 8

Reorder the terms:
-15 + 3t + 2(1 + 2t) = 8
-15 + 3t + (1 * 2 + 2t * 2) = 8
-15 + 3t + (2 + 4t) = 8

Reorder the terms:
-15 + 2 + 3t + 4t = 8

Combine like terms: -15 + 2 = -13
-13 + 3t + 4t = 8

Combine like terms: 3t + 4t = 7t
-13 + 7t = 8

Solving
-13 + 7t = 8

Solving for variable 't'.

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

Add '13' to each side of the equation.
-13 + 13 + 7t = 8 + 13

Combine like terms: -13 + 13 = 0
0 + 7t = 8 + 13
7t = 8 + 13

Combine like terms: 8 + 13 = 21
7t = 21

Divide each side by '7'.
t = 3

Simplifying
t = 3

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