Question

Solve $6x - 3 = 5x -5$?

Answer 1

Hint: A linear equation of one variable can be written in the form $ax + b = c$. Here, a, b, and c are constants. And the exponent on the variable of the linear equation is always 1. To solve the linear equation, we have to remember that addition and subtraction are the inverse operations of each other. For example, if we have a number that is being added that we need to move to the other side of the equation, then we would subtract it from both sides of that equation.

Complete step by step answer:
In this question, we want to solve the linear equation of one variable.
The given equation is,
$ \Rightarrow 6x - 3 = 5x - 5$
Let us solve this equation,
First, we will subtract 5x on both sides.
That is equal to,
$ \Rightarrow 6x - 5x - 3 = 5x - 5x - 5$
Let us apply subtraction on both sides. The subtraction of 6x and 5x is equal to x on the left-hand side, and the subtraction of 5x and 5x is equal to 0 on the right-hand side.
Therefore,
$ \Rightarrow x - 3 = - 5$
Now, let us add 3 on both sides.
$ \Rightarrow x - 3 + 3 = - 5 + 3$
Let us apply addition on both sides. The addition of -3 and 3 is equal to 0 on the left-hand side, and the subtraction of -5 and 3 is equal to -2 on the right-hand side.
Therefore,
$ \Rightarrow x = - 2$
Hence, the solution of the given equation is -2.

Note: Let us verify the answer.
$ \Rightarrow 6x - 3 = 5x - 5$
Let us substitute the value of x is equal to -2 in the above equation.
$ \Rightarrow 6\left( { - 2} \right) - 3 = 5\left( { - 2} \right) - 5$
That is equal to,
$ \Rightarrow - 12 - 3 = - 10 - 5$
Let us apply addition on both sides.
$ \Rightarrow - 15 = - 15$