Question

5.4t+14.6-10.1t=12.8-3.5t-0.6

Answer 1

rearrange it first

Answer 2

unknowns to Left Hand Side

Answer 3

Simplifying
5.4t + 14.6 + -10.1t = 12.8 + -3.5t + -0.6

Reorder the terms:
14.6 + 5.4t + -10.1t = 12.8 + -3.5t + -0.6

Combine like terms: 5.4t + -10.1t = -4.7t
14.6 + -4.7t = 12.8 + -3.5t + -0.6

Reorder the terms:
14.6 + -4.7t = 12.8 + -0.6 + -3.5t

Combine like terms: 12.8 + -0.6 = 12.2
14.6 + -4.7t = 12.2 + -3.5t

Solving
14.6 + -4.7t = 12.2 + -3.5t

Solving for variable 't'.

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

Add '3.5t' to each side of the equation.
14.6 + -4.7t + 3.5t = 12.2 + -3.5t + 3.5t

Combine like terms: -4.7t + 3.5t = -1.2t
14.6 + -1.2t = 12.2 + -3.5t + 3.5t

Combine like terms: -3.5t + 3.5t = 0.0
14.6 + -1.2t = 12.2 + 0.0
14.6 + -1.2t = 12.2

Add '-14.6' to each side of the equation.
14.6 + -14.6 + -1.2t = 12.2 + -14.6

Combine like terms: 14.6 + -14.6 = 0.0
0.0 + -1.2t = 12.2 + -14.6
-1.2t = 12.2 + -14.6

Combine like terms: 12.2 + -14.6 = -2.4
-1.2t = -2.4

Divide each side by '-1.2'.
t = 2

Simplifying
t = 2