Question

solve and check result 3x -7 =x +5​

Answer 1

We can solve this equation is 2 ways, transposing and non transposing method.

Transposing method:

3x - 7 = x + 5

⇒ 3x = x + 5 + 7

⇒ 3x = x + 12

⇒ 3x - x = 12

⇒ 2x = 12

⇒ x = $\frac{12}{2}$

⇒ x = 6

Non Transposing method:

3x - 7 = x + 5

⇒ 3x - 7 + 7 = x + 5 + 7

⇒ 3x = x + 12

⇒ 3x - x = x - x + 12

⇒ 2x = 12

⇒ $\frac{2x}{2}$ = $\frac{12}{2}$

⇒ x = 6

VERIFICATION:

Now, let's verify whether our answer is correct or not by substituting x with 6.

3x - 7 = x + 5

⇒ 3(6) - 7 = 6 + 5

⇒ 18 - 7 = 6 + 5

⇒ 11 = 11

Over here, the L.H.S is equal to the R.H.S, so this means x is equal to 6.

∴ Hence, we proved and verified that x is equal to 6.

Thnx and have a nice day!

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