2(t-7)=4(5-3t)

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Solution for 2(t-7)=4(5-3t) equation:


Simplifying
2(t + -7) = 4(5 + -3t)

Reorder the terms:
2(-7 + t) = 4(5 + -3t)
(-7 * 2 + t * 2) = 4(5 + -3t)
(-14 + 2t) = 4(5 + -3t)
-14 + 2t = (5 * 4 + -3t * 4)
-14 + 2t = (20 + -12t)

Solving
-14 + 2t = 20 + -12t

Solving for variable 't'.

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

Add '12t' to each side of the equation.
-14 + 2t + 12t = 20 + -12t + 12t

Combine like terms: 2t + 12t = 14t
-14 + 14t = 20 + -12t + 12t

Combine like terms: -12t + 12t = 0
-14 + 14t = 20 + 0
-14 + 14t = 20

Add '14' to each side of the equation.
-14 + 14 + 14t = 20 + 14

Combine like terms: -14 + 14 = 0
0 + 14t = 20 + 14
14t = 20 + 14

Combine like terms: 20 + 14 = 34
14t = 34

Divide each side by '14'.
t = 2.428571429

Simplifying
t = 2.428571429

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