Question

How do you solve $4x + 8 = 32$?

Answer 1

In the question, we are provided with a basic linear equation. In order to solve such questions, we should first rearrange the equation by taking all the constants at one side and all variables at the other side of the equal symbol.

Complete step by step solution:
As per the question, we have to solve the expression into a simple one to get our required answer. The proper solution of any equation is when we put the value of the variable back in the given equation, we can get the both sides of the equation to be equal.
Coming back to the question, subtracting the equation by $8$ on both sides.
$4x + 8 - 8 = 32 - 8 \\\ \Rightarrow 4x = 24 \\\$
Now, dividing the equation by $4$
$\dfrac{{4x}}{4} = \dfrac{{24}}{4}$
So, $x = 6$ which is our required solution.
Rechecking our solution by simply substituting the value of x in the given equation.
$L.H.S:4\left( 6 \right) + 8 = 24 + 8 = 32$
$R.H.S.:32$
Which gives $L.H.S. = R.H.S.$
Hence, our solution is correct.

Note: A standard mathematical equation is when an equality or increment\decrement symbol is in between two algebraic expressions. Solve the expression carefully. Most people solve such short expressions in a hurry and make silly mistakes. Please make sure when we transfer one variable or constant to another side the sign will change.