8(t-4)+19=13+5(t-4)

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Solution for 8(t-4)+19=13+5(t-4) equation:


Simplifying
8(t + -4) + 19 = 13 + 5(t + -4)

Reorder the terms:
8(-4 + t) + 19 = 13 + 5(t + -4)
(-4 * 8 + t * 8) + 19 = 13 + 5(t + -4)
(-32 + 8t) + 19 = 13 + 5(t + -4)

Reorder the terms:
-32 + 19 + 8t = 13 + 5(t + -4)

Combine like terms: -32 + 19 = -13
-13 + 8t = 13 + 5(t + -4)

Reorder the terms:
-13 + 8t = 13 + 5(-4 + t)
-13 + 8t = 13 + (-4 * 5 + t * 5)
-13 + 8t = 13 + (-20 + 5t)

Combine like terms: 13 + -20 = -7
-13 + 8t = -7 + 5t

Solving
-13 + 8t = -7 + 5t

Solving for variable 't'.

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

Add '-5t' to each side of the equation.
-13 + 8t + -5t = -7 + 5t + -5t

Combine like terms: 8t + -5t = 3t
-13 + 3t = -7 + 5t + -5t

Combine like terms: 5t + -5t = 0
-13 + 3t = -7 + 0
-13 + 3t = -7

Add '13' to each side of the equation.
-13 + 13 + 3t = -7 + 13

Combine like terms: -13 + 13 = 0
0 + 3t = -7 + 13
3t = -7 + 13

Combine like terms: -7 + 13 = 6
3t = 6

Divide each side by '3'.
t = 2

Simplifying
t = 2

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