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

Solution:

2(x – 3) + 9 = 3(x + 1) + x

Using the distributive property

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

Solving for x,

2x + 3 = 4x + 3

By combining the like terms and transposing we isolate the variable x.

2x - 4x = 3 - 3

So we get

-2x = 0

x = 0

Therefore, the value of x is 0.

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

Summary:

The value of x in the equation 2(x – 3) + 9 = 3(x + 1) + x is 0.