Question

solve the equation: 3(x-3)=5(2x+1)​

Answer 1

Given: The equation is$3(x-3)=5(2x+1)$.

We have to solve the above equation.

We are solving in the following way:

• 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,

The equation is$3(x-3)=5(2x+1)$

$\Rightarrow 3x-9=10x+5\\\Rightarrow 3x-10x=5+9\\\Rightarrow -7x=14\\\\\Rightarrow x=\frac{14}{-7} \\\\\Rightarrow x=-2$

Hence, the solution of the equation will be$-2$.

Answer 2

As per the data given in the question,

In the above question, it is given that,

The given equation is 3(x-3)=5(2x+1).

Here we have to solve the above given equation​.

We have to solve the given equation.

Thus, simplifying we get,

$3(x-3)=5(2x+1)\\3x-9=10x+5$

Taking x term one side and constant another side,

$3x-10x=5+10\\-7x=15\\-x=\frac{15}{7} \\x=-2.14$

Hence after solving the given equation we get x=-2.14

,