Question

Which of the following describes the correct process for solving the equation 2x − 4 = 20 and arrives at the correct solution?

a.Add 4 to both sides, and then divide by 2. The solution is x = 12.
b. Divide both sides by −4, and then subtract 2. The solution is x = −7.
c.Subtract 4 from both sides, and then divide by 2. The solution is x = −12.
d.Multiply both sides by −4, and then divide by 2. The solution is x = −40.

Answer 1

${\huge{\underbrace{\rm\pink{Answer\checkmark}}}}$

a) Add 4 to both sides, and then divide by 2. The solution is x = 12

∴ 1st option is correct

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$\orange{{\fbox\purple{\tt{Verification}}}}$

*solving 2x - 4 = 20 for the value of x, we get –

$2x - 4 = 20 \\ \implies 2x - 4 + ( 4) = 20 + ( 4) \\ \implies2x = 24 \\ \implies \: x = \frac{24}{2} \\ \implies \boxed{x = 12}$

Hence, verified!

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