2(3t-4)=5(t-1)

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Solution for 2(3t-4)=5(t-1) equation:


Simplifying
2(3t + -4) = 5(t + -1)

Reorder the terms:
2(-4 + 3t) = 5(t + -1)
(-4 * 2 + 3t * 2) = 5(t + -1)
(-8 + 6t) = 5(t + -1)

Reorder the terms:
-8 + 6t = 5(-1 + t)
-8 + 6t = (-1 * 5 + t * 5)
-8 + 6t = (-5 + 5t)

Solving
-8 + 6t = -5 + 5t

Solving for variable 't'.

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

Add '-5t' to each side of the equation.
-8 + 6t + -5t = -5 + 5t + -5t

Combine like terms: 6t + -5t = 1t
-8 + 1t = -5 + 5t + -5t

Combine like terms: 5t + -5t = 0
-8 + 1t = -5 + 0
-8 + 1t = -5

Add '8' to each side of the equation.
-8 + 8 + 1t = -5 + 8

Combine like terms: -8 + 8 = 0
0 + 1t = -5 + 8
1t = -5 + 8

Combine like terms: -5 + 8 = 3
1t = 3

Divide each side by '1'.
t = 3

Simplifying
t = 3

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