Answer :

• The equation of this answer is 1.

Given :

• (x - 1)/3 + (2x + 5)/6 = (3x - 6)/9 - (2x - 5)/2

To find :

• Equation

Solution :

Given,

• (x - 1)/3 + (2x + 5)/6 = (3x - 6)/9 - (2x - 5)/2

We have to simplify this equation by steps.

We have to multiply all the term by using LCM of denominators which is 18 then,

↦18 × (x - 1)/3 + 18 × (2x + 5)/6 = 18 × (3x - 6)/9 - 18 × (2x - 5)/2

↦6(x - 1) + 3(2x + 5) = 2 (3x - 6) - 9(2x - 5)

Now we have to distribute we get,

↦ 6x - 6 + 6x + 15 = 6x - 12 - 18x + 45

↦ 12x + 9 = -12x + 33

↦ 12x + 12x = 33 - 9

↦ 24x = 24

↦ x = 24/24

↦ x = 1

Hence, The equation of this answer is 1.

Verification :

↦6x - 6 + 6x + 15 = 6x - 12 - 18x + 45

↦ 6(1) - 6 + 6(1) + 15 = 6(1) - 12 - 18(1) + 45

↦ 6 - 6 + 6 + 15 = 6 - 12 - 18 + 45

↦ 21 = 21

Hence, Verified.