Question

Solve each of the following equations and verify the answer in each case: 6x + 5 = 2x + 17

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Solution

6x + 5 = 2x + 17 $⇒$6x $-$ 2x = 17 $-$ 5 [Transposing 2x to the L.H.S. and 5 to the R.H.S.] $⇒$4x = 12 $⇒$$\frac{4x}{4}=\frac{12}{4}$ [Dividing both the sides by 4] $⇒$x = 3 Verification: Substituting x = 3 on both the sides: L.H.S.: 6(3) + 5 =18 + 5 =23 R.H.S.: 2(3) + 17 = 6 + 17 = 23 L.H.S. = R.H.S. Hence, verified.

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