Question

How do you solve $3x + 4 = 5x + 2?$

Answer 1

Hint: In this question, we are going to solve the given equation and find the value of $x$.
First, we are going to bring the right hand side of the equation to the left hand side.
Adding the terms having the same variables and then add the constant terms.
And then solve it we get the value of $x$

Complete step-by-step solution:
In this question, we are going to solve the given equation and find the value of $x$.
First, we are going to write the given equation: $3x + 4 = 5x + 2$
Next we are going to bring the right hand side of $x$ term to the left hand side we get,
$ \Rightarrow 3x + 4 - 5x = 2$
Adding the $x$ terms we get,
$ \Rightarrow - 2x + 4 = 2$
Now we are going to bring the left hand side of the constant term to the right hand side we get,
$ \Rightarrow - 2x = 2 - 4$
Adding the above term we get,
$ \Rightarrow - 2x = - 2$
Solving this we get,
$ \Rightarrow x = \dfrac{2}{2}$
$ \Rightarrow x = 1$
Thus the value of $x$ is $1$.

The solution for the equation $3x + 4 = 5x + 2$ is $1$.

Note: In mathematics, to solve an equation is to find its solutions, which are the values that fulfill the condition stated by the equation, consisting generally of two expressions related by an equals sign. When seeking a solution, one or more variables are designated as unknowns.
To simplify algebraic expression, the following are the basic rules and steps:
Remove any grouping symbol such as brackets and parentheses by multiplying factors.
Use the exponent rule to remove grouping if the terms are containing exponents.
Combine the like terms by addition or subtraction.
Combine the constant terms.