16-5(3t-4)=8-(2t+11)

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Solution for 16-5(3t-4)=8-(2t+11) equation:


Simplifying
16 + -5(3t + -4) = 8 + -1(2t + 11)

Reorder the terms:
16 + -5(-4 + 3t) = 8 + -1(2t + 11)
16 + (-4 * -5 + 3t * -5) = 8 + -1(2t + 11)
16 + (20 + -15t) = 8 + -1(2t + 11)

Combine like terms: 16 + 20 = 36
36 + -15t = 8 + -1(2t + 11)

Reorder the terms:
36 + -15t = 8 + -1(11 + 2t)
36 + -15t = 8 + (11 * -1 + 2t * -1)
36 + -15t = 8 + (-11 + -2t)

Combine like terms: 8 + -11 = -3
36 + -15t = -3 + -2t

Solving
36 + -15t = -3 + -2t

Solving for variable 't'.

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

Add '2t' to each side of the equation.
36 + -15t + 2t = -3 + -2t + 2t

Combine like terms: -15t + 2t = -13t
36 + -13t = -3 + -2t + 2t

Combine like terms: -2t + 2t = 0
36 + -13t = -3 + 0
36 + -13t = -3

Add '-36' to each side of the equation.
36 + -36 + -13t = -3 + -36

Combine like terms: 36 + -36 = 0
0 + -13t = -3 + -36
-13t = -3 + -36

Combine like terms: -3 + -36 = -39
-13t = -39

Divide each side by '-13'.
t = 3

Simplifying
t = 3

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