3(2t-1)=10-(3t+2)

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Solution for 3(2t-1)=10-(3t+2) equation:


Simplifying
3(2t + -1) = 10 + -1(3t + 2)

Reorder the terms:
3(-1 + 2t) = 10 + -1(3t + 2)
(-1 * 3 + 2t * 3) = 10 + -1(3t + 2)
(-3 + 6t) = 10 + -1(3t + 2)

Reorder the terms:
-3 + 6t = 10 + -1(2 + 3t)
-3 + 6t = 10 + (2 * -1 + 3t * -1)
-3 + 6t = 10 + (-2 + -3t)

Combine like terms: 10 + -2 = 8
-3 + 6t = 8 + -3t

Solving
-3 + 6t = 8 + -3t

Solving for variable 't'.

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

Add '3t' to each side of the equation.
-3 + 6t + 3t = 8 + -3t + 3t

Combine like terms: 6t + 3t = 9t
-3 + 9t = 8 + -3t + 3t

Combine like terms: -3t + 3t = 0
-3 + 9t = 8 + 0
-3 + 9t = 8

Add '3' to each side of the equation.
-3 + 3 + 9t = 8 + 3

Combine like terms: -3 + 3 = 0
0 + 9t = 8 + 3
9t = 8 + 3

Combine like terms: 8 + 3 = 11
9t = 11

Divide each side by '9'.
t = 1.222222222

Simplifying
t = 1.222222222

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