Answer:
x = -6
Step-by-step explanation:
∵ [tex]\frac{x}{3}=\frac{x+2}{2}[/tex]
* 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
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)
