Question

How do you solve the equation $-2x-7=-13$?

Answer 1

Hint: Now to solve the given equation we will first rearrange the equation such that we have all the variables on one side and the constants on the other side. Now we will try to eliminate the coefficient of x by dividing the whole equation by the coefficient of x. hence we will get the required value of x.

Complete step by step solution:
Now the given equation is $-2x-7=-13$ .
Since there are no exponents involved the equation is a linear equation.
Now the variable in the equation is x. we want to find the values of x such that the equation holds.
Now to solve the equation we will first arrange the equation such that the constants and the variables are on opposite sides of the equal sign.
To do so we must transpose – 7 on RHS. Now we know that while transposing the terms on the other side the sign of the term changes hence on RHS we will get + 7. Hence we get the equation as,
$\Rightarrow -2x=7-13$
Now on simplifying the above equation we get,
$\Rightarrow -2x=-6$
Now multiplying the whole equation by – 1 we get,
$\Rightarrow 2x=6$
Now to find the value of x we will divide the whole equation with the coefficient of x which is 2. Hence we get the value of x as 3.
Hence the solution of the given equation is x = 3.

Note: Now note that here we have the solution of x is 3. we can substitute x = 3 in the equation and check if the equation holds. Also remember that while transposing the terms in the equation the sign of the term changes.