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

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

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

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

Combine like terms: 6.1 + -4.2 = 1.9
1.9 + -2.1t = 3(t + 1.5)

Reorder the terms:
1.9 + -2.1t = 3(1.5 + t)
1.9 + -2.1t = (1.5 * 3 + t * 3)
1.9 + -2.1t = (4.5 + 3t)

Solving
1.9 + -2.1t = 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.
1.9 + -2.1t + -3t = 4.5 + 3t + -3t

Combine like terms: -2.1t + -3t = -5.1t
1.9 + -5.1t = 4.5 + 3t + -3t

Combine like terms: 3t + -3t = 0
1.9 + -5.1t = 4.5 + 0
1.9 + -5.1t = 4.5

Add '-1.9' to each side of the equation.
1.9 + -1.9 + -5.1t = 4.5 + -1.9

Combine like terms: 1.9 + -1.9 = 0.0
0.0 + -5.1t = 4.5 + -1.9
-5.1t = 4.5 + -1.9

Combine like terms: 4.5 + -1.9 = 2.6
-5.1t = 2.6

Divide each side by '-5.1'.
t = -0.5098039216

Simplifying
t = -0.5098039216