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Answer :
To solve for [tex]\( x \)[/tex] in the equation, let's select the correct equation from the options provided:
1. [tex]\( 8x - 42 = 122 \)[/tex]
2. [tex]\( 8x + 42 = 122 \)[/tex]
3. [tex]\( 8x + 42 = 180 \)[/tex]
4. [tex]\( 8x + 164 \)[/tex]
The correct equation that aligns with the numerical solution we are looking for is:
[tex]\[ 8x - 42 = 122 \][/tex]
Now, let's solve the equation step-by-step:
1. Start with the equation:
[tex]\[ 8x - 42 = 122 \][/tex]
2. To isolate the term with [tex]\( x \)[/tex], add 42 to both sides of the equation:
[tex]\[ 8x - 42 + 42 = 122 + 42 \][/tex]
3. Simplify both sides:
[tex]\[ 8x = 164 \][/tex]
4. Now, divide both sides by 8 to solve for [tex]\( x \)[/tex]:
[tex]\[ x = \frac{164}{8} \][/tex]
5. Calculate the division:
[tex]\[ x = 20.5 \][/tex]
So the solution is:
[tex]\[ x = 20.5 \][/tex]
1. [tex]\( 8x - 42 = 122 \)[/tex]
2. [tex]\( 8x + 42 = 122 \)[/tex]
3. [tex]\( 8x + 42 = 180 \)[/tex]
4. [tex]\( 8x + 164 \)[/tex]
The correct equation that aligns with the numerical solution we are looking for is:
[tex]\[ 8x - 42 = 122 \][/tex]
Now, let's solve the equation step-by-step:
1. Start with the equation:
[tex]\[ 8x - 42 = 122 \][/tex]
2. To isolate the term with [tex]\( x \)[/tex], add 42 to both sides of the equation:
[tex]\[ 8x - 42 + 42 = 122 + 42 \][/tex]
3. Simplify both sides:
[tex]\[ 8x = 164 \][/tex]
4. Now, divide both sides by 8 to solve for [tex]\( x \)[/tex]:
[tex]\[ x = \frac{164}{8} \][/tex]
5. Calculate the division:
[tex]\[ x = 20.5 \][/tex]
So the solution is:
[tex]\[ x = 20.5 \][/tex]
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