Question

Solve x/3 = x+2/2
x=?

Answer 1

x = -3/2 (Or) x = -1.5

First apply the rule a/a = 1

2/2 = 1

x/3 = x +1

Multiply both sides by 3

(x/3 * 3) = (x * 3) + (1 * 3)

Simplify

x = 3x + 3

Subtract 3x from both sides

(x - 3x) = (3x + 3 - 3x)

Simplify

-2x = 3

Divide both sides by -2

(-2x / -2) = (3 / -2)

Simplify

x = -3/2

(Decimal: x = -1.5)

Answer 2

x = -6

Explanation:

∵
`(x)/(3)=(x+2)/(2)`

* These are two equivalent fractions

we can solve by using cross-multiplication way

that means we multiply x by 2 and multiply (x + 2) by 3

∴ 2(x) = 3(x + 2)

* Take care about the multiplication of 3(x + 2) you must

multiply 3 by x and also multiply 3 by 2

∴ 2x = 3x + 6

* Now lets start to collect the like terms

∴ 2x - 3x = 6

∴ -x = 6

* Divide the both sides by -1

∴ x = -6