5t+3=t(4-6)

Solution for 5t+3=t(4-6) equation:

Simplifying
5t + 3 = t(4 + -6)

Reorder the terms:
3 + 5t = t(4 + -6)

Combine like terms: 4 + -6 = -2
3 + 5t = t(-2)

Reorder the terms for easier multiplication:
3 + 5t = -2t

Solving
3 + 5t = -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.
3 + 5t + 2t = -2t + 2t

Combine like terms: 5t + 2t = 7t
3 + 7t = -2t + 2t

Combine like terms: -2t + 2t = 0
3 + 7t = 0

Add '-3' to each side of the equation.
3 + -3 + 7t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 7t = 0 + -3
7t = 0 + -3

Combine like terms: 0 + -3 = -3
7t = -3

Divide each side by '7'.
t = -0.4285714286

Simplifying
t = -0.4285714286