0.5(2t+3)=0.6(6t+1)

Solution for 0.5(2t+3)=0.6(6t+1) equation:

Simplifying
0.5(2t + 3) = 0.6(6t + 1)

Reorder the terms:
0.5(3 + 2t) = 0.6(6t + 1)
(3 * 0.5 + 2t * 0.5) = 0.6(6t + 1)
(1.5 + 1t) = 0.6(6t + 1)

Reorder the terms:
1.5 + 1t = 0.6(1 + 6t)
1.5 + 1t = (1 * 0.6 + 6t * 0.6)
1.5 + 1t = (0.6 + 3.6t)

Solving
1.5 + 1t = 0.6 + 3.6t

Solving for variable 't'.

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

Add '-3.6t' to each side of the equation.
1.5 + 1t + -3.6t = 0.6 + 3.6t + -3.6t

Combine like terms: 1t + -3.6t = -2.6t
1.5 + -2.6t = 0.6 + 3.6t + -3.6t

Combine like terms: 3.6t + -3.6t = 0.0
1.5 + -2.6t = 0.6 + 0.0
1.5 + -2.6t = 0.6

Add '-1.5' to each side of the equation.
1.5 + -1.5 + -2.6t = 0.6 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -2.6t = 0.6 + -1.5
-2.6t = 0.6 + -1.5

Combine like terms: 0.6 + -1.5 = -0.9
-2.6t = -0.9

Divide each side by '-2.6'.
t = 0.3461538462

Simplifying
t = 0.3461538462