Question

How many solutions does the following equation have?
$3(6x+8)=18x-12$

Answer 1

Detailed step-by-step solution:
Solving for $x$ in $3(6x+8)=18x-12:$
$3(6x+8)=18x-12$ (solving the bracket for the L.H.S. using the distributive property)
$18x+24=18x-12$ $(18x$ is common on both the sides; hence, eliminating it)
$24=-12$
LHS $\ne$ RHS
Since $24$ is not equal to $-12,$ the original equation can never be satisfied by any value for $x.$
Therefore, it has no solution

So, option A is the correct answer.