6(2t-4)+5=48-t

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Solution for 6(2t-4)+5=48-t equation:


Simplifying
6(2t + -4) + 5 = 48 + -1t

Reorder the terms:
6(-4 + 2t) + 5 = 48 + -1t
(-4 * 6 + 2t * 6) + 5 = 48 + -1t
(-24 + 12t) + 5 = 48 + -1t

Reorder the terms:
-24 + 5 + 12t = 48 + -1t

Combine like terms: -24 + 5 = -19
-19 + 12t = 48 + -1t

Solving
-19 + 12t = 48 + -1t

Solving for variable 't'.

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

Add 't' to each side of the equation.
-19 + 12t + t = 48 + -1t + t

Combine like terms: 12t + t = 13t
-19 + 13t = 48 + -1t + t

Combine like terms: -1t + t = 0
-19 + 13t = 48 + 0
-19 + 13t = 48

Add '19' to each side of the equation.
-19 + 19 + 13t = 48 + 19

Combine like terms: -19 + 19 = 0
0 + 13t = 48 + 19
13t = 48 + 19

Combine like terms: 48 + 19 = 67
13t = 67

Divide each side by '13'.
t = 5.153846154

Simplifying
t = 5.153846154

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