8t-10-10t-9=2(2t-3)

Solution for 8t-10-10t-9=2(2t-3) equation:

Simplifying
8t + -10 + -10t + -9 = 2(2t + -3)

Reorder the terms:
-10 + -9 + 8t + -10t = 2(2t + -3)

Combine like terms: -10 + -9 = -19
-19 + 8t + -10t = 2(2t + -3)

Combine like terms: 8t + -10t = -2t
-19 + -2t = 2(2t + -3)

Reorder the terms:
-19 + -2t = 2(-3 + 2t)
-19 + -2t = (-3 * 2 + 2t * 2)
-19 + -2t = (-6 + 4t)

Solving
-19 + -2t = -6 + 4t

Solving for variable 't'.

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

Add '-4t' to each side of the equation.
-19 + -2t + -4t = -6 + 4t + -4t

Combine like terms: -2t + -4t = -6t
-19 + -6t = -6 + 4t + -4t

Combine like terms: 4t + -4t = 0
-19 + -6t = -6 + 0
-19 + -6t = -6

Add '19' to each side of the equation.
-19 + 19 + -6t = -6 + 19

Combine like terms: -19 + 19 = 0
0 + -6t = -6 + 19
-6t = -6 + 19

Combine like terms: -6 + 19 = 13
-6t = 13

Divide each side by '-6'.
t = -2.166666667

Simplifying
t = -2.166666667