5t+10=8t-2

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Solution for 5t+10=8t-2 equation:


Simplifying
5t + 10 = 8t + -2

Reorder the terms:
10 + 5t = 8t + -2

Reorder the terms:
10 + 5t = -2 + 8t

Solving
10 + 5t = -2 + 8t

Solving for variable 't'.

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

Add '-8t' to each side of the equation.
10 + 5t + -8t = -2 + 8t + -8t

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

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

Add '-10' to each side of the equation.
10 + -10 + -3t = -2 + -10

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

Combine like terms: -2 + -10 = -12
-3t = -12

Divide each side by '-3'.
t = 4

Simplifying
t = 4

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