Question

How do you solve for x: $12 = - 4\left( { - 6x - 3} \right)$?

Answer 1

Hint: In the above question, is based on the concept of linear equations. The main approach towards solving the equation is to begin by expanding the parenthesis first and then solving it by multiplying the number with the terms inside it. Then by performing mathematical operations on the same terms we need to find out the value of variable $x$.

Complete step by step answer:
The above given equation is the linear equation. It is generally an equation for straight line. Linear equations will contain constants, variables, equal to sign and also mathematical operations like addition, subtraction. So now the above equation is given as,
$12 = - 4\left( { - 6x - 3} \right)$
The first step is to expand the parenthesis which is present on the right-hand side. So now we get,
\[12 = 24x + 12\]
The terms -4 is multiplied with the terms present inside the parenthesis. -4 is multiplied by \[6x\] gives \[24x\] and – 4 is multiplied by -3 we get 12.
Then the terms that are the constants are taken on one side and the variables remain on the right-hand side.
\[12 - 12 = 24x\]
Further on solving it we get,
\[0 = 24x\]
Then by taking 24 on the left-hand side in division we get,
\[\dfrac{0}{{24}} = x \\
\therefore x = 0 \\ \]
Therefore, we get the above value of variable \[x = 0\].

Note:An important thing to note is that the above given equation is a linear equation which is actually a one degree equation in which the highest power of variable should be 1.If the highest power is greater than 1 then it is not a linear equation.