Question

What is the value of x in the equation \[3x - 4 = 7x + 9\] ?

Answer 1

Hint: We have a single variable linear equation in this question, and we must find the value of the provided variable. To make it easier to answer the problem, use a basic single variable technique that involves shifting variables on one side and constants on the other.

Complete answer:
We have an equation to solve: \[3x - 4 = 7x + 9\]
We can add constants and the same type of variables, we can shift the variables on one side and the constants on the other for solving the equation.
Our equation is
\[ \Rightarrow 3x - 4 = 7x + 9\]
We will take our x term on right side and constant term on left side, we get
\[ \Rightarrow - 9 - 4 = 7x - 3x\]
we will solve the both side
\[ \Rightarrow - 13 = 4x\]
We have divided both side by 4
\[ \Rightarrow 3 \times \dfrac{{ - 13}}{4} - 4 = 7 \times \dfrac{{ - 13}}{4} + 9\]\[ \Rightarrow \dfrac{{ - 13}}{4} = x\]
Hence, the solution of the equation \[3x - 4 = 7x + 9\] is \[\dfrac{{ - 13}}{4}\]

Note: We can check if our answer is correct or not just by putting the value of x in the equation. If the value on the R.H.S. is equal to L.H.S then our answer is correct. Because this is a single variable equation, any number with a variable has the same variable. Linear equations are another name for these sorts of equations.