-4(t-5)+6t=9t-6

Solution for -4(t-5)+6t=9t-6 equation:

Simplifying
-4(t + -5) + 6t = 9t + -6

Reorder the terms:
-4(-5 + t) + 6t = 9t + -6
(-5 * -4 + t * -4) + 6t = 9t + -6
(20 + -4t) + 6t = 9t + -6

Combine like terms: -4t + 6t = 2t
20 + 2t = 9t + -6

Reorder the terms:
20 + 2t = -6 + 9t

Solving
20 + 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.
20 + 2t + -9t = -6 + 9t + -9t

Combine like terms: 2t + -9t = -7t
20 + -7t = -6 + 9t + -9t

Combine like terms: 9t + -9t = 0
20 + -7t = -6 + 0
20 + -7t = -6

Add '-20' to each side of the equation.
20 + -20 + -7t = -6 + -20

Combine like terms: 20 + -20 = 0
0 + -7t = -6 + -20
-7t = -6 + -20

Combine like terms: -6 + -20 = -26
-7t = -26

Divide each side by '-7'.
t = 3.714285714

Simplifying
t = 3.714285714