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 = -12
-12 + 5t = 6t + -9

Reorder the terms:
-12 + 5t = -9 + 6t

Solving
-12 + 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.
-12 + 5t + -6t = -9 + 6t + -6t

Combine like terms: 5t + -6t = -1t
-12 + -1t = -9 + 6t + -6t

Combine like terms: 6t + -6t = 0
-12 + -1t = -9 + 0
-12 + -1t = -9

Add '12' to each side of the equation.
-12 + 12 + -1t = -9 + 12

Combine like terms: -12 + 12 = 0
0 + -1t = -9 + 12
-1t = -9 + 12

Combine like terms: -9 + 12 = 3
-1t = 3

Divide each side by '-1'.
t = -3

Simplifying
t = -3

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