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Answer :
To solve for [tex]\( x \)[/tex] using the correct equation, let's go through the options:
1. [tex]\( 4x = 76 \)[/tex]
2. [tex]\( 4x + 76 = 90 \)[/tex]
3. [tex]\( 4 + x = 76 \)[/tex]
4. [tex]\( 4x + 76 = \)[/tex]
The correct equation that can be used to solve for [tex]\( x \)[/tex] is:
[tex]\[ 4x + 76 = 90 \][/tex]
Now, let's solve this equation step by step:
Step 1: Start with the equation:
[tex]\[ 4x + 76 = 90 \][/tex]
Step 2: To isolate the term with [tex]\( x \)[/tex], subtract 76 from both sides of the equation:
[tex]\[ 4x + 76 - 76 = 90 - 76 \][/tex]
This simplifies to:
[tex]\[ 4x = 14 \][/tex]
Step 3: Now, divide both sides by 4 to solve for [tex]\( x \)[/tex]:
[tex]\[ x = \frac{14}{4} \][/tex]
Step 4: Simplify the fraction:
[tex]\[ x = 3.5 \][/tex]
Thus, the solution to the equation is [tex]\( x = 3.5 \)[/tex].
1. [tex]\( 4x = 76 \)[/tex]
2. [tex]\( 4x + 76 = 90 \)[/tex]
3. [tex]\( 4 + x = 76 \)[/tex]
4. [tex]\( 4x + 76 = \)[/tex]
The correct equation that can be used to solve for [tex]\( x \)[/tex] is:
[tex]\[ 4x + 76 = 90 \][/tex]
Now, let's solve this equation step by step:
Step 1: Start with the equation:
[tex]\[ 4x + 76 = 90 \][/tex]
Step 2: To isolate the term with [tex]\( x \)[/tex], subtract 76 from both sides of the equation:
[tex]\[ 4x + 76 - 76 = 90 - 76 \][/tex]
This simplifies to:
[tex]\[ 4x = 14 \][/tex]
Step 3: Now, divide both sides by 4 to solve for [tex]\( x \)[/tex]:
[tex]\[ x = \frac{14}{4} \][/tex]
Step 4: Simplify the fraction:
[tex]\[ x = 3.5 \][/tex]
Thus, the solution to the equation is [tex]\( x = 3.5 \)[/tex].
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