What is the value of x in the equation (x + 12) = (x + 14) - 3?

Solution:

Solving the equation for the value of x, let us use the balancing method.

We get,

Step 1: Remove the bracket

x + 12 = x + 14 - 3

Step 2: Add 3 on both sides.

x + 12+ 3 = x + 14 - 3 + 3

x + 15 = x + 14

Step 3: Subtract 15 from both sides.

x + 15 -15 = x + 14 -15

x = x - 1

Step 3: But if we subtract x from both sides we will get no solution.

Thus, x ∈ ∅

The equation has no value of x which satisfies the equation.

What is the value of x in the equation (x + 12) = (x + 14) - 3?

Summary:

There is no value of x in the equation (x + 12) = (x + 14) - 3 which satisfies the equation. Hence x ∈ ∅.