Question

4.5*(x-1)-2/3*(x+2)=2.1x

Answer 1

4.5х -4.5 -2/3x+4/3=2.1x

2.4x -2/3x+4/3=0

5.2x=-4/3

x=10/39

Answer 2

To solve this equation, we'll first simplify both sides of the equation by distributing the coefficients:

4.5x - 4.5 - (2/3)x - (4/3) = 2.1x

Next, we'll combine like terms by adding the x-terms and the constant terms:

(4.5x - (2/3)x) - 4.5 - (4/3) = 2.1x

(4.5 - (2/3))x - (4.5 + (4/3)) = 2.1x

(13/3)x - (22/3) = 2.1x

Now we'll isolate the variable term by adding (22/3) to both sides:

(13/3)x = 2.1x + (22/3)

Finally, we'll isolate x by dividing both sides by (13/3):

x = (2.1x + (22/3)) / (13/3)

x = (2.1/13)x + (22/39)

Subtracting (2.1/13)x from both sides gives:

(11.9/13)x = 22/39

And dividing both sides by (11.9/13) gives:

x = (22/39) * (13/11.9)

x ≈ 1.285

Therefore, the solution to the equation is x ≈ 1.285.