Question

Solve the following equation and verify the answer:

16(3x − 5) − 10(4x − 8) = 40

Answer 1

16(3x − 5) − 10(4x − 8) = 40
or, \[16 \times 3x - 16 \times 5 - 10 \times 4x - 10 \times ( - 8) = 40\] [On expanding the brackets]
or, 48x - 80 - 40x + 80 = 40
or, 8x = 40
or, \[\frac{8x}{8} = \frac{40}{8}\] [Dividing both the sides by 8]
or, x = 5
Verification:
Substituting x = 5 in the L.H.S.:

\[16(3 \times 5 - 5) - 10( 4 \times 5 - 8)\]
\[ \Rightarrow 16(15 - 5) - 10(20 - 8)\]
\[ \Rightarrow 16(10) - 10(12)\]
\[ \Rightarrow 160 - 120 = 40 = R . H . S .\]

L.H.S. = R.H.S.
Hence, verified.