4(1/2x+1/2)=2x+2

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4/2x+4/2+2x+2
2x+2=2x+2
2x+2x=2+2
4x=4
x=1

is that correct

Yes.

thanx for ur help

To solve the equation 4(1/2x + 1/2) = 2x + 2, follow these steps:

Step 1: Distribute the 4 to both terms inside the parentheses:
4 * 1/2x + 4 * 1/2 = 2x + 2

Step 2: Simplify:
2x + 2 = 2x + 2

Step 3: Combine like terms:
2x + 2 = 2x + 2

Step 4: Subtract 2x from both sides to isolate the constant term:
2x - 2x + 2 = 2x - 2x + 2

Simplified equation: 2 = 2

After completing these steps, you'll find that the equation is an identity, meaning the two sides of the equation are always equal. This implies that the given equation is true for all values of x.