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

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


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

Reorder the terms:
5(-2 + t) = 2(t + 4)
(-2 * 5 + t * 5) = 2(t + 4)
(-10 + 5t) = 2(t + 4)

Reorder the terms:
-10 + 5t = 2(4 + t)
-10 + 5t = (4 * 2 + t * 2)
-10 + 5t = (8 + 2t)

Solving
-10 + 5t = 8 + 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.
-10 + 5t + -2t = 8 + 2t + -2t

Combine like terms: 5t + -2t = 3t
-10 + 3t = 8 + 2t + -2t

Combine like terms: 2t + -2t = 0
-10 + 3t = 8 + 0
-10 + 3t = 8

Add '10' to each side of the equation.
-10 + 10 + 3t = 8 + 10

Combine like terms: -10 + 10 = 0
0 + 3t = 8 + 10
3t = 8 + 10

Combine like terms: 8 + 10 = 18
3t = 18

Divide each side by '3'.
t = 6

Simplifying
t = 6

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