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

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

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

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

Reorder the terms:
-6 + 10t = 3(-2 + 3t)
-6 + 10t = (-2 * 3 + 3t * 3)
-6 + 10t = (-6 + 9t)

Add '6' to each side of the equation.
-6 + 6 + 10t = -6 + 6 + 9t

Combine like terms: -6 + 6 = 0
0 + 10t = -6 + 6 + 9t
10t = -6 + 6 + 9t

Combine like terms: -6 + 6 = 0
10t = 0 + 9t
10t = 9t

Solving
10t = 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.
10t + -9t = 9t + -9t

Combine like terms: 10t + -9t = 1t
1t = 9t + -9t

Combine like terms: 9t + -9t = 0
1t = 0

Divide each side by '1'.
t = 0

Simplifying
t = 0