-2(t-3)+4t=9t-6

Solution for -2(t-3)+4t=9t-6 equation:

Simplifying
-2(t + -3) + 4t = 9t + -6

Reorder the terms:
-2(-3 + t) + 4t = 9t + -6
(-3 * -2 + t * -2) + 4t = 9t + -6
(6 + -2t) + 4t = 9t + -6

Combine like terms: -2t + 4t = 2t
6 + 2t = 9t + -6

Reorder the terms:
6 + 2t = -6 + 9t

Solving
6 + 2t = -6 + 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.
6 + 2t + -9t = -6 + 9t + -9t

Combine like terms: 2t + -9t = -7t
6 + -7t = -6 + 9t + -9t

Combine like terms: 9t + -9t = 0
6 + -7t = -6 + 0
6 + -7t = -6

Add '-6' to each side of the equation.
6 + -6 + -7t = -6 + -6

Combine like terms: 6 + -6 = 0
0 + -7t = -6 + -6
-7t = -6 + -6

Combine like terms: -6 + -6 = -12
-7t = -12

Divide each side by '-7'.
t = 1.714285714

Simplifying
t = 1.714285714