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

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

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

Reorder the terms:
2(-3 + 5t) + -1t = 3(3r + -2)
(-3 * 2 + 5t * 2) + -1t = 3(3r + -2)
(-6 + 10t) + -1t = 3(3r + -2)

Combine like terms: 10t + -1t = 9t
-6 + 9t = 3(3r + -2)

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

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

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

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

Solving
9t = 9r

Solving for variable 't'.

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

Divide each side by '9'.
t = r

Simplifying
t = r