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

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


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

Reorder the terms:
5(-1 + 2t) + 3t = 3(3t + 2)
(-1 * 5 + 2t * 5) + 3t = 3(3t + 2)
(-5 + 10t) + 3t = 3(3t + 2)

Combine like terms: 10t + 3t = 13t
-5 + 13t = 3(3t + 2)

Reorder the terms:
-5 + 13t = 3(2 + 3t)
-5 + 13t = (2 * 3 + 3t * 3)
-5 + 13t = (6 + 9t)

Solving
-5 + 13t = 6 + 9t

Solving for variable 't'.

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

Add '-9t' to each side of the equation.
-5 + 13t + -9t = 6 + 9t + -9t

Combine like terms: 13t + -9t = 4t
-5 + 4t = 6 + 9t + -9t

Combine like terms: 9t + -9t = 0
-5 + 4t = 6 + 0
-5 + 4t = 6

Add '5' to each side of the equation.
-5 + 5 + 4t = 6 + 5

Combine like terms: -5 + 5 = 0
0 + 4t = 6 + 5
4t = 6 + 5

Combine like terms: 6 + 5 = 11
4t = 11

Divide each side by '4'.
t = 2.75

Simplifying
t = 2.75

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