8(t+5)-3t+6=71

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Solution for 8(t+5)-3t+6=71 equation:


Simplifying
8(t + 5) + -3t + 6 = 71

Reorder the terms:
8(5 + t) + -3t + 6 = 71
(5 * 8 + t * 8) + -3t + 6 = 71
(40 + 8t) + -3t + 6 = 71

Reorder the terms:
40 + 6 + 8t + -3t = 71

Combine like terms: 40 + 6 = 46
46 + 8t + -3t = 71

Combine like terms: 8t + -3t = 5t
46 + 5t = 71

Solving
46 + 5t = 71

Solving for variable 't'.

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

Add '-46' to each side of the equation.
46 + -46 + 5t = 71 + -46

Combine like terms: 46 + -46 = 0
0 + 5t = 71 + -46
5t = 71 + -46

Combine like terms: 71 + -46 = 25
5t = 25

Divide each side by '5'.
t = 5

Simplifying
t = 5

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