Question

$solve \: 5x + \frac{7}{2} = \frac{3}{2} x - 14$
please give answer ​

Answer 1

Given: The equation is$5x+\frac{7}{2} =\frac{3}{2} x-14$.

We have to solve the above equation.

• For this first, we will Identify the variables and constants in the given equation.
• And then we Simplify the equation in LHS and RHS.
• Then we will transpose or shift the term on the other side to solve the equation further simplest.
• After that, we will Simplify the equation using arithmetic operation as required that is mentioned in the above rule of the linear equations.
• Then the result will be the solution for the given linear equation.

Now by using the transposition method:

We have,

$5x+\frac{7}{2} =\frac{3}{2} x-14$

$\Rightarrow 5x-\frac{3}{2} x=-14-\frac{7}{2} \\\\\Rightarrow \frac{10x-3x}{2} =\frac{-28-7}{2} \\\\\Rightarrow \frac{7x}{2} =\frac{-35}{2} \\\\\Rightarrow 7x=-35\\\\\Rightarrow x=\frac{-35}{7}$

Solving the above equation further we get,

$\Rightarrow x=-5$

Hence, the solution of the given equation is$-5$.