10t-6=-2t+1

Solution for 10t-6=-2t+1 equation:

Simplifying
10t + -6 = -2t + 1

Reorder the terms:
-6 + 10t = -2t + 1

Reorder the terms:
-6 + 10t = 1 + -2t

Solving
-6 + 10t = 1 + -2t

Solving for variable 't'.

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

Add '2t' to each side of the equation.
-6 + 10t + 2t = 1 + -2t + 2t

Combine like terms: 10t + 2t = 12t
-6 + 12t = 1 + -2t + 2t

Combine like terms: -2t + 2t = 0
-6 + 12t = 1 + 0
-6 + 12t = 1

Add '6' to each side of the equation.
-6 + 6 + 12t = 1 + 6

Combine like terms: -6 + 6 = 0
0 + 12t = 1 + 6
12t = 1 + 6

Combine like terms: 1 + 6 = 7
12t = 7

Divide each side by '12'.
t = 0.5833333333

Simplifying
t = 0.5833333333