Question

What is x? \[-89-4x=-10x+25\].

Answer 1

Hint: To solve the given linear equation first of all take all the terms containing the variable x to the L.H.S and all the constant terms to the R.H.S. simplify both the sides by simple addition or subtraction whichever required. Now, divide both the sides with the coefficient of x and simplify the R.H.S to get the answer.

Complete step by step solution:
Here we have been provided with the linear equation \[-89-4x=-10x+25\] and we are asked to find the value of x.
\[\because -89-4x=-10x+25\]
Now, taking all the terms containing the variable x to the L.H.S. and taking all the constant terms to the R.H.S we get,
\[\begin{align}
  & \Rightarrow -89-4x=-10x+25 \\
 & \Rightarrow 10x-4x=25+89 \\
 & \Rightarrow 6x=114 \\
\end{align}\]
Dividing both the sides with the coefficient of x, i.e. (6), and cancelling the common factors on both the sides to simplify we get,
\[\begin{align}
  & \Rightarrow x=\dfrac{114}{6} \\
 & \therefore x=19 \\
\end{align}\]

Hence, the value of x is 19.

Note: If you want to check the answer then just substitute the obtained value of x in the equation provided in the question. Solve for the L.H.S and R.H.S expression separately and if they are equal then our answer is correct otherwise there may be some calculation mistake which must be corrected. Here we have only one equation because there is only one variable. To solve an equation containing n variables we need n number of equations. Also, you may see that the exponent of x is 1 that is why it is called the linear equation. If the exponent is 2 then it is called a quadratic equation and we have different methods for solving such equations.