0.5(t+5)=0.2(3+t)

Solution for 0.5(t+5)=0.2(3+t) equation:

Simplifying
0.5(t + 5) = 0.2(3 + t)

Reorder the terms:
0.5(5 + t) = 0.2(3 + t)
(5 * 0.5 + t * 0.5) = 0.2(3 + t)
(2.5 + 0.5t) = 0.2(3 + t)
2.5 + 0.5t = (3 * 0.2 + t * 0.2)
2.5 + 0.5t = (0.6 + 0.2t)

Solving
2.5 + 0.5t = 0.6 + 0.2t

Solving for variable 't'.

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

Add '-0.2t' to each side of the equation.
2.5 + 0.5t + -0.2t = 0.6 + 0.2t + -0.2t

Combine like terms: 0.5t + -0.2t = 0.3t
2.5 + 0.3t = 0.6 + 0.2t + -0.2t

Combine like terms: 0.2t + -0.2t = 0.0
2.5 + 0.3t = 0.6 + 0.0
2.5 + 0.3t = 0.6

Add '-2.5' to each side of the equation.
2.5 + -2.5 + 0.3t = 0.6 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + 0.3t = 0.6 + -2.5
0.3t = 0.6 + -2.5

Combine like terms: 0.6 + -2.5 = -1.9
0.3t = -1.9

Divide each side by '0.3'.
t = -6.333333333

Simplifying
t = -6.333333333