(-5t-6)-(8t+3)=3t-49

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Solution for (-5t-6)-(8t+3)=3t-49 equation:


Simplifying
(-5t + -6) + -1(8t + 3) = 3t + -49

Reorder the terms:
(-6 + -5t) + -1(8t + 3) = 3t + -49

Remove parenthesis around (-6 + -5t)
-6 + -5t + -1(8t + 3) = 3t + -49

Reorder the terms:
-6 + -5t + -1(3 + 8t) = 3t + -49
-6 + -5t + (3 * -1 + 8t * -1) = 3t + -49
-6 + -5t + (-3 + -8t) = 3t + -49

Reorder the terms:
-6 + -3 + -5t + -8t = 3t + -49

Combine like terms: -6 + -3 = -9
-9 + -5t + -8t = 3t + -49

Combine like terms: -5t + -8t = -13t
-9 + -13t = 3t + -49

Reorder the terms:
-9 + -13t = -49 + 3t

Solving
-9 + -13t = -49 + 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
-9 + -13t + -3t = -49 + 3t + -3t

Combine like terms: -13t + -3t = -16t
-9 + -16t = -49 + 3t + -3t

Combine like terms: 3t + -3t = 0
-9 + -16t = -49 + 0
-9 + -16t = -49

Add '9' to each side of the equation.
-9 + 9 + -16t = -49 + 9

Combine like terms: -9 + 9 = 0
0 + -16t = -49 + 9
-16t = -49 + 9

Combine like terms: -49 + 9 = -40
-16t = -40

Divide each side by '-16'.
t = 2.5

Simplifying
t = 2.5

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