3(t-1)+5=3(2t)+5

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Solution for 3(t-1)+5=3(2t)+5 equation: 


Simplifying
3(t + -1) + 5 = 3(2t) + 5

Reorder the terms:
3(-1 + t) + 5 = 3(2t) + 5
(-1 * 3 + t * 3) + 5 = 3(2t) + 5
(-3 + 3t) + 5 = 3(2t) + 5

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

Combine like terms: -3 + 5 = 2
2 + 3t = 3(2t) + 5

Remove parenthesis around (2t)
2 + 3t = 3 * 2t + 5

Multiply 3 * 2
2 + 3t = 6t + 5

Reorder the terms:
2 + 3t = 5 + 6t

Solving
2 + 3t = 5 + 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.
2 + 3t + -6t = 5 + 6t + -6t

Combine like terms: 3t + -6t = -3t
2 + -3t = 5 + 6t + -6t

Combine like terms: 6t + -6t = 0
2 + -3t = 5 + 0
2 + -3t = 5

Add '-2' to each side of the equation.
2 + -2 + -3t = 5 + -2

Combine like terms: 2 + -2 = 0
0 + -3t = 5 + -2
-3t = 5 + -2

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

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

Simplifying
t = -1

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