Question

How do you solve $- 3(4x + 3) + 4(6x + 1) = 43$?

Answer 1

The above question is based on algebraic equations. The main approach towards solving the expression is to simplify by opening the parenthesis and multiplying the terms outside the parentheses with the terms inside the brackets and performing mathematical operations.

Complete step by step solution:
The above equation is an algebraic equation. It is made up of variables, constants along with mathematical operations like addition, subtraction, division and multiplication. Here there is an equal sign which has Left hand side and right-hand side of it. Both the sides are connected by equal to sign.
In the equation we have an unknown variable $x$,so we need to find the value of it.
For that we need to isolate variables and constants. Keeping the variable on the left hand side and shifting others on the right-hand side.
So, first we will simplify by opening the parenthesis and multiplying the terms outside the brackets with the terms which are present inside.

$$\Rightarrow - 3(4x + 3) + 4(6x + 1) = 43 \\\ \Rightarrow - 12x - 9 + 24x + 4 = 43 \\\$$

So, on simplifying we get the above equation. Now we will perform mathematical operations on all the terms.

$$\Rightarrow 12x - 5 = 43 \\\ \Rightarrow x = \frac{{48}}{{12}} = 4 \\\$$

Therefore, by shifting all the terms on the right-hand side and isolating the term on the left-hand side we get the value of $x$as 4.

Note: An important thing to note is that equations and expressions have two different meanings. The above question given, has an equation which means two sides are connected with equal to sign whereas an expression lacks the equal to sign variable, constants and mathematical operations