3t-2=5(t-2)

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


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

Reorder the terms:
-2 + 3t = 5(t + -2)

Reorder the terms:
-2 + 3t = 5(-2 + t)
-2 + 3t = (-2 * 5 + t * 5)
-2 + 3t = (-10 + 5t)

Solving
-2 + 3t = -10 + 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.
-2 + 3t + -5t = -10 + 5t + -5t

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

Combine like terms: 5t + -5t = 0
-2 + -2t = -10 + 0
-2 + -2t = -10

Add '2' to each side of the equation.
-2 + 2 + -2t = -10 + 2

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

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

Divide each side by '-2'.
t = 4

Simplifying
t = 4

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