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Given the equation [tex]\(D = 5x - (2x - 3)\)[/tex], simplify for [tex]\(D\)[/tex].

[tex]\[
D = 5x - (2x - 3)
\][/tex]

[tex]\[
D =
\][/tex]

[tex]\[
D =
\][/tex]

[tex]\[
D =
\][/tex]

Sagot :

Sure, let’s solve the expression step-by-step.

We start with the given expression:
[tex]\[ D = 5x - (2x - 3) \][/tex]

### Step 1: Distribute the negative sign inside the parentheses
First, we need to distribute the negative sign across the terms inside the parentheses:
[tex]\[ D = 5x - 2x + 3 \][/tex]

### Step 2: Combine like terms
Next, we combine the like terms (terms that have [tex]\( x \)[/tex]):
[tex]\[ 5x - 2x = 3x \][/tex]

So, the expression simplifies to:
[tex]\[ D = 3x + 3 \][/tex]

Therefore, the simplified form of the given expression is:
[tex]\[ D = 3x + 3 \][/tex]