5(t-2)+7=3t-1

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Solution for 5(t-2)+7=3t-1 equation:


Simplifying
5(t + -2) + 7 = 3t + -1

Reorder the terms:
5(-2 + t) + 7 = 3t + -1
(-2 * 5 + t * 5) + 7 = 3t + -1
(-10 + 5t) + 7 = 3t + -1

Reorder the terms:
-10 + 7 + 5t = 3t + -1

Combine like terms: -10 + 7 = -3
-3 + 5t = 3t + -1

Reorder the terms:
-3 + 5t = -1 + 3t

Solving
-3 + 5t = -1 + 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
-3 + 5t + -3t = -1 + 3t + -3t

Combine like terms: 5t + -3t = 2t
-3 + 2t = -1 + 3t + -3t

Combine like terms: 3t + -3t = 0
-3 + 2t = -1 + 0
-3 + 2t = -1

Add '3' to each side of the equation.
-3 + 3 + 2t = -1 + 3

Combine like terms: -3 + 3 = 0
0 + 2t = -1 + 3
2t = -1 + 3

Combine like terms: -1 + 3 = 2
2t = 2

Divide each side by '2'.
t = 1

Simplifying
t = 1

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