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

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

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

Reorder the terms:
2(-5 + t) = 3(2 + -4t)
(-5 * 2 + t * 2) = 3(2 + -4t)
(-10 + 2t) = 3(2 + -4t)
-10 + 2t = (2 * 3 + -4t * 3)
-10 + 2t = (6 + -12t)

Solving
-10 + 2t = 6 + -12t

Solving for variable 't'.

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

Add '12t' to each side of the equation.
-10 + 2t + 12t = 6 + -12t + 12t

Combine like terms: 2t + 12t = 14t
-10 + 14t = 6 + -12t + 12t

Combine like terms: -12t + 12t = 0
-10 + 14t = 6 + 0
-10 + 14t = 6

Add '10' to each side of the equation.
-10 + 10 + 14t = 6 + 10

Combine like terms: -10 + 10 = 0
0 + 14t = 6 + 10
14t = 6 + 10

Combine like terms: 6 + 10 = 16
14t = 16

Divide each side by '14'.
t = 1.142857143

Simplifying
t = 1.142857143