Question

How do you solve $x - 12 = 8$?

Answer 1

In order to determine the value of variable$x$ in the above equation use the rules of transposing terms to transpose terms having $(x)$on the Left-hand side and constant value terms on the Right-Hand side of the equation. Solving like terms will lead to your required result.

Complete step by step solution:
We are given a linear equation in one variable $x - 12 = 8$.and we have to solve this equation for variable ($x$).
$\Rightarrow x - 12 = 8$

Now combining like terms on both of the sides. Terms having $x$will on the Left-Hand side of the equation and constant terms on the right-hand side .

Let’s recall one basic property of transposing terms that on transposing any term from one side to another the sign of that term gets reversed .In our case,$- 12$ in the left hand side will become $+ 12$on the right hand side .

After transposing terms our equation becomes
$\Rightarrow x = 8 + 12$

Now, solving the Right-hand side, the value of $x$is
$\Rightarrow x = 20$

Therefore, the solution to the equation $x - 12 = 8$is equal to $x = 20$.

Note: Linear Equation: A linear equation is a equation which can be represented in the form of $ax + c$where $x$is the unknown variable and a,c are the numbers known where $a \ne 0$.If $a = 0$then the equation will become a constant value and will no more be a linear equation .