5(t+0.3)=2(t+1.6)-4(t-0.2)

Solution for 5(t+0.3)=2(t+1.6)-4(t-0.2) equation:

Simplifying
5(t + 0.3) = 2(t + 1.6) + -4(t + -0.2)

Reorder the terms:
5(0.3 + t) = 2(t + 1.6) + -4(t + -0.2)
(0.3 * 5 + t * 5) = 2(t + 1.6) + -4(t + -0.2)
(1.5 + 5t) = 2(t + 1.6) + -4(t + -0.2)

Reorder the terms:
1.5 + 5t = 2(1.6 + t) + -4(t + -0.2)
1.5 + 5t = (1.6 * 2 + t * 2) + -4(t + -0.2)
1.5 + 5t = (3.2 + 2t) + -4(t + -0.2)

Reorder the terms:
1.5 + 5t = 3.2 + 2t + -4(-0.2 + t)
1.5 + 5t = 3.2 + 2t + (-0.2 * -4 + t * -4)
1.5 + 5t = 3.2 + 2t + (0.8 + -4t)

Reorder the terms:
1.5 + 5t = 3.2 + 0.8 + 2t + -4t

Combine like terms: 3.2 + 0.8 = 4
1.5 + 5t = 4 + 2t + -4t

Combine like terms: 2t + -4t = -2t
1.5 + 5t = 4 + -2t

Solving
1.5 + 5t = 4 + -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.
1.5 + 5t + 2t = 4 + -2t + 2t

Combine like terms: 5t + 2t = 7t
1.5 + 7t = 4 + -2t + 2t

Combine like terms: -2t + 2t = 0
1.5 + 7t = 4 + 0
1.5 + 7t = 4

Add '-1.5' to each side of the equation.
1.5 + -1.5 + 7t = 4 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 7t = 4 + -1.5
7t = 4 + -1.5

Combine like terms: 4 + -1.5 = 2.5
7t = 2.5

Divide each side by '7'.
t = 0.3571428571

Simplifying
t = 0.3571428571