0.3(5t+8)=0.15(t+2)-0.06

Solution for 0.3(5t+8)=0.15(t+2)-0.06 equation:

Simplifying
0.3(5t + 8) = 0.15(t + 2) + -0.06

Reorder the terms:
0.3(8 + 5t) = 0.15(t + 2) + -0.06
(8 * 0.3 + 5t * 0.3) = 0.15(t + 2) + -0.06
(2.4 + 1.5t) = 0.15(t + 2) + -0.06

Reorder the terms:
2.4 + 1.5t = 0.15(2 + t) + -0.06
2.4 + 1.5t = (2 * 0.15 + t * 0.15) + -0.06
2.4 + 1.5t = (0.3 + 0.15t) + -0.06

Reorder the terms:
2.4 + 1.5t = 0.3 + -0.06 + 0.15t

Combine like terms: 0.3 + -0.06 = 0.24
2.4 + 1.5t = 0.24 + 0.15t

Solving
2.4 + 1.5t = 0.24 + 0.15t

Solving for variable 't'.

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

Add '-0.15t' to each side of the equation.
2.4 + 1.5t + -0.15t = 0.24 + 0.15t + -0.15t

Combine like terms: 1.5t + -0.15t = 1.35t
2.4 + 1.35t = 0.24 + 0.15t + -0.15t

Combine like terms: 0.15t + -0.15t = 0.00
2.4 + 1.35t = 0.24 + 0.00
2.4 + 1.35t = 0.24

Add '-2.4' to each side of the equation.
2.4 + -2.4 + 1.35t = 0.24 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + 1.35t = 0.24 + -2.4
1.35t = 0.24 + -2.4

Combine like terms: 0.24 + -2.4 = -2.16
1.35t = -2.16

Divide each side by '1.35'.
t = -1.6

Simplifying
t = -1.6