2(5t-3)-8t=3(3t-2)

Solution for 2(5t-3)-8t=3(3t-2) equation:

Simplifying
2(5t + -3) + -8t = 3(3t + -2)

Reorder the terms:
2(-3 + 5t) + -8t = 3(3t + -2)
(-3 * 2 + 5t * 2) + -8t = 3(3t + -2)
(-6 + 10t) + -8t = 3(3t + -2)

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

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

Add '6' to each side of the equation.
-6 + 6 + 2t = -6 + 6 + 9t

Combine like terms: -6 + 6 = 0
0 + 2t = -6 + 6 + 9t
2t = -6 + 6 + 9t

Combine like terms: -6 + 6 = 0
2t = 0 + 9t
2t = 9t

Solving
2t = 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.
2t + -9t = 9t + -9t

Combine like terms: 2t + -9t = -7t
-7t = 9t + -9t

Combine like terms: 9t + -9t = 0
-7t = 0

Divide each side by '-7'.
t = 0

Simplifying
t = 0