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

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

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

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

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

Reorder the terms:
-4.2 + -2.1t + 6.1x = 3(1.5 + t)
-4.2 + -2.1t + 6.1x = (1.5 * 3 + t * 3)
-4.2 + -2.1t + 6.1x = (4.5 + 3t)

Solving
-4.2 + -2.1t + 6.1x = 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 + -2.1t + -3t + 6.1x = 4.5 + 3t + -3t

Combine like terms: -2.1t + -3t = -5.1t
-4.2 + -5.1t + 6.1x = 4.5 + 3t + -3t

Combine like terms: 3t + -3t = 0
-4.2 + -5.1t + 6.1x = 4.5 + 0
-4.2 + -5.1t + 6.1x = 4.5

Add '4.2' to each side of the equation.
-4.2 + -5.1t + 4.2 + 6.1x = 4.5 + 4.2

Reorder the terms:
-4.2 + 4.2 + -5.1t + 6.1x = 4.5 + 4.2

Combine like terms: -4.2 + 4.2 = 0.0
0.0 + -5.1t + 6.1x = 4.5 + 4.2
-5.1t + 6.1x = 4.5 + 4.2

Combine like terms: 4.5 + 4.2 = 8.7
-5.1t + 6.1x = 8.7

Add '-6.1x' to each side of the equation.
-5.1t + 6.1x + -6.1x = 8.7 + -6.1x

Combine like terms: 6.1x + -6.1x = 0.0
-5.1t + 0.0 = 8.7 + -6.1x
-5.1t = 8.7 + -6.1x

Divide each side by '-5.1'.
t = -1.705882353 + 1.196078431x

Simplifying
t = -1.705882353 + 1.196078431x