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Solve for [tex]m[/tex].

[tex]\[
5 + 2m = 3 + m
\][/tex]

[tex]m = \ ?[/tex]

Sagot :

GinnyAnswer
To solve the equation \( 5 + 2m = 3 + m \) for \( m \), we will follow a step-by-step approach.

1. Start with the original equation:
[tex]\[ 5 + 2m = 3 + m \][/tex]

2. Isolate the terms involving \( m \) on one side:
To do this, we need to move the term \( m \) on the right-hand side to the left-hand side. We can do this by subtracting \( m \) from both sides of the equation:

[tex]\[ 5 + 2m - m = 3 + m - m \][/tex]

3. Simplify the equation:
On the right-hand side, \( m - m \) cancels out:

[tex]\[ 5 + (2m - m) = 3 + 0 \][/tex]
[tex]\[ 5 + m = 3 \][/tex]

4. Isolate the \( m \) term completely:
To isolate \( m \), we need to remove the constant term 5 on the left-hand side. We can do this by subtracting 5 from both sides of the equation:

[tex]\[ 5 + m - 5 = 3 - 5 \][/tex]

5. Simplify both sides:
This simplifies to:

[tex]\[ m = 3 - 5 \][/tex]
[tex]\[ m = -2 \][/tex]

So, the solution to the equation \( 5 + 2m = 3 + m \) is:

[tex]\[ m = -2 \][/tex]
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