What is the value of x in the equation 2(x – 3) + 9 = 3(x + 1) + x? x =

Asked by maham237 @ in Mathematics viewed by 307 People

Answered by maham237 @


Answer:

Given the equation: 2(x-3)+9=3(x+1)+x

Distributive property of multiplication states that when a number is multiplied by the sum of the two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately i.e,

a \cdot (b+c) = a\cdot b+a\cdot c

Now, using distributive property to LHS and RHS, we get

2x-6+9=3x+3+x

Combine like terms on RHS;

2x-6+9 = 4x+3

or

2x+3 = 4x+3

Subtract 3 from both sides of an equation;

2x+3-3 =4x+3-3

Simplify:

2x = 4x

or

4x-2x =0

2x = 0

⇒ x =0

Therefore, the value of x in the given equation

2(x-3)+9=3(x+1)+x is 0.





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