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

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


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

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

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

Reorder the terms:
15 + -1 + -3t + -1t = 8

Combine like terms: 15 + -1 = 14
14 + -3t + -1t = 8

Combine like terms: -3t + -1t = -4t
14 + -4t = 8

Solving
14 + -4t = 8

Solving for variable 't'.

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

Add '-14' to each side of the equation.
14 + -14 + -4t = 8 + -14

Combine like terms: 14 + -14 = 0
0 + -4t = 8 + -14
-4t = 8 + -14

Combine like terms: 8 + -14 = -6
-4t = -6

Divide each side by '-4'.
t = 1.5

Simplifying
t = 1.5

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