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# How do you simplify $x - (12 - x) = 38$?

Last updated date: 01st Mar 2024
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Hint: In order to determine the solution of the above linear equation having variable $x$,apply the distributive law to resolve the bracket and then combine all the like terms and transpose the constants terms from LHS to RHS .At the end divide both sides of the equation with the coefficient of variable $x$to get your required result.

Complete step-by-step solution:
We are given a linear equation in one variable $x - (12 - x) = 38$. And we have to simplify expression for variable ($x$).Let it be call as $f(x)$
$\Rightarrow f(x) = x - (12 - x) = 38$
Distributive states that $A(B + C) = A.B + A.C$
By applying the distributive property in order simplify the function, we get
$x - (12 - x) = 38 \\ x - 12 + x = 38 \\$
Now we will combine like terms, as you can see we have two terms having variable $x$ in them.so to combine then we actually do the operation with their coefficients and transposing constants from LHS to RHS .
$2x = 38 + 12 \\ 2x = 50 \\$
Now dividing both sides of the equation with the coefficient of variable $x$,we get
$\dfrac{{2x}}{2} = \dfrac{{50}}{2}$
$x = 25$s
Therefore, the solution of the linear equation $x - (12 - x) = 38$ is $x = 25$.
i) 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 constant value and will no more be a linear equation .