Question

# Solve for the value of x if $5\left( {8x + 3} \right) = 9\left( {4x + 7} \right)$.

Hint- Here, we are given with one equation in one variable (x) which can be easily solved by using the basic principles of algebra. Here, we will rearrange the given equation so that we can get the value for variable x.

The given equation is $5\left( {8x + 3} \right) = 9\left( {4x + 7} \right) \\ \Rightarrow 40x + 15 = 36x + 63{\text{ }} \to {\text{(1)}} \\$
$\Rightarrow 40x - 36x = 63 - 15 \\ \Rightarrow 4x = 48 \\$
$\Rightarrow 4x = 48 \\ \Rightarrow x = \dfrac{{48}}{4} = 12 \\$