-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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