5t+6=3(2t-4)

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Solution for 5t+6=3(2t-4) equation:


Simplifying
5t + 6 = 3(2t + -4)

Reorder the terms:
6 + 5t = 3(2t + -4)

Reorder the terms:
6 + 5t = 3(-4 + 2t)
6 + 5t = (-4 * 3 + 2t * 3)
6 + 5t = (-12 + 6t)

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

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

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

Add '-6' to each side of the equation.
6 + -6 + -1t = -12 + -6

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

Combine like terms: -12 + -6 = -18
-1t = -18

Divide each side by '-1'.
t = 18

Simplifying
t = 18

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