Answer:
The only options which are having same solution as the given equation is A, B and D.
Explanation:
Given the equation: ......[1]
Like terms are terms whose variables are the same.
In the given equation [1],
Combine like terms of variable x on LHS; we have
Simplify:
or we can write this as;
.
LCM(Least Common Multiple) to change each fraction to make their denominators the same as the least common denominator.
Taking LCM to both sides of an equation [1] as;
LCM of 3, 5 on LHS is 15 and LCM of 2 , 5 on RHS is 10;
By cross multiplication we get;
Divide both side by 5 we get;
Using distributive property on both sides of an equation (i.e, )
we have;
......[2]
Additive Property of Equality states that allows one to add the same quantity to both sides of an equation.
Using additive property of equality:
Add 6x to both sides of an equation in [2];
Simplify;
Combine 18x and 6x we get;
......[3]
Subtraction Property of Equality states that allows one to subtract the same quantity to both sides of an equation.
Subtract 20 from both sides of an equation in [3] we get;
Simplify:
Therefore, from the given options only A, B and D have the same solution as