6.1t-2.1(t+2)=3(t+1.5)

Solution for 6.1t-2.1(t+2)=3(t+1.5) equation:

Simplifying
6.1t + -2.1(t + 2) = 3(t + 1.5)

Reorder the terms:
6.1t + -2.1(2 + t) = 3(t + 1.5)
6.1t + (2 * -2.1 + t * -2.1) = 3(t + 1.5)
6.1t + (-4.2 + -2.1t) = 3(t + 1.5)

Reorder the terms:
-4.2 + 6.1t + -2.1t = 3(t + 1.5)

Combine like terms: 6.1t + -2.1t = 4t
-4.2 + 4t = 3(t + 1.5)

Reorder the terms:
-4.2 + 4t = 3(1.5 + t)
-4.2 + 4t = (1.5 * 3 + t * 3)
-4.2 + 4t = (4.5 + 3t)

Solving
-4.2 + 4t = 4.5 + 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
-4.2 + 4t + -3t = 4.5 + 3t + -3t

Combine like terms: 4t + -3t = 1t
-4.2 + 1t = 4.5 + 3t + -3t

Combine like terms: 3t + -3t = 0
-4.2 + 1t = 4.5 + 0
-4.2 + 1t = 4.5

Add '4.2' to each side of the equation.
-4.2 + 4.2 + 1t = 4.5 + 4.2

Combine like terms: -4.2 + 4.2 = 0.0
0.0 + 1t = 4.5 + 4.2
1t = 4.5 + 4.2

Combine like terms: 4.5 + 4.2 = 8.7
1t = 8.7

Divide each side by '1'.
t = 8.7

Simplifying
t = 8.7