2t-8=3(t+7)

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Solution for 2t-8=3(t+7) equation:


Simplifying
2t + -8 = 3(t + 7)

Reorder the terms:
-8 + 2t = 3(t + 7)

Reorder the terms:
-8 + 2t = 3(7 + t)
-8 + 2t = (7 * 3 + t * 3)
-8 + 2t = (21 + 3t)

Solving
-8 + 2t = 21 + 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.
-8 + 2t + -3t = 21 + 3t + -3t

Combine like terms: 2t + -3t = -1t
-8 + -1t = 21 + 3t + -3t

Combine like terms: 3t + -3t = 0
-8 + -1t = 21 + 0
-8 + -1t = 21

Add '8' to each side of the equation.
-8 + 8 + -1t = 21 + 8

Combine like terms: -8 + 8 = 0
0 + -1t = 21 + 8
-1t = 21 + 8

Combine like terms: 21 + 8 = 29
-1t = 29

Divide each side by '-1'.
t = -29

Simplifying
t = -29

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