5(t+2)-2=6t-9

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Solution for 5(t+2)-2=6t-9 equation:


Simplifying
5(t + 2) + -2 = 6t + -9

Reorder the terms:
5(2 + t) + -2 = 6t + -9
(2 * 5 + t * 5) + -2 = 6t + -9
(10 + 5t) + -2 = 6t + -9

Reorder the terms:
10 + -2 + 5t = 6t + -9

Combine like terms: 10 + -2 = 8
8 + 5t = 6t + -9

Reorder the terms:
8 + 5t = -9 + 6t

Solving
8 + 5t = -9 + 6t

Solving for variable 't'.

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

Add '-6t' to each side of the equation.
8 + 5t + -6t = -9 + 6t + -6t

Combine like terms: 5t + -6t = -1t
8 + -1t = -9 + 6t + -6t

Combine like terms: 6t + -6t = 0
8 + -1t = -9 + 0
8 + -1t = -9

Add '-8' to each side of the equation.
8 + -8 + -1t = -9 + -8

Combine like terms: 8 + -8 = 0
0 + -1t = -9 + -8
-1t = -9 + -8

Combine like terms: -9 + -8 = -17
-1t = -17

Divide each side by '-1'.
t = 17

Simplifying
t = 17

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