pollen36912
Answered

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Find the solution to this equation.

[tex]\[2x + 6 = 2(x + 3)\][/tex]

A. No solution
B. All real numbers

Sagot :

GinnyAnswer
To solve the equation \(2x + 6 = 2(x + 3)\), follow these steps:

1. Start with the given equation:
[tex]\[ 2x + 6 = 2(x + 3) \][/tex]

2. Distribute the right-hand side:
[tex]\[ 2x + 6 = 2x + 6 \][/tex]

3. Subtract \(2x\) from both sides:
[tex]\[ 2x + 6 - 2x = 2x + 6 - 2x \][/tex]

4. Simplify the equation:
[tex]\[ 6 = 6 \][/tex]

The result \(6 = 6\) is a true statement.

This indicates that the original equation is an identity, meaning that it holds for all possible values of \(x\).

Thus, the solution to the equation is:
[tex]\[ \text{All real numbers} \][/tex]
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