Question

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

Answer 1

6x + 5 = 2x + 17
$\Rightarrow$6x $-$ 2x = 17 $-$ 5 [Transposing 2x to the L.H.S. and 5 to the R.H.S.]
$\Rightarrow$4x = 12
$\Rightarrow$$\frac{4x}{4}=\frac{12}{4}$ [Dividing both the sides by 4]
$\Rightarrow$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.