(5)t+2=(10)t+6

Solution for (5)t+2=(10)t+6 equation:

Simplifying
(5) * t + 2 = (10) * t + 6

Reorder the terms:
2 + 5t = (10) * t + 6

Reorder the terms:
2 + 5t = 6 + 10t

Solving
2 + 5t = 6 + 10t

Solving for variable 't'.

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

Add '-10t' to each side of the equation.
2 + 5t + -10t = 6 + 10t + -10t

Combine like terms: 5t + -10t = -5t
2 + -5t = 6 + 10t + -10t

Combine like terms: 10t + -10t = 0
2 + -5t = 6 + 0
2 + -5t = 6

Add '-2' to each side of the equation.
2 + -2 + -5t = 6 + -2

Combine like terms: 2 + -2 = 0
0 + -5t = 6 + -2
-5t = 6 + -2

Combine like terms: 6 + -2 = 4
-5t = 4

Divide each side by '-5'.
t = -0.8

Simplifying
t = -0.8