Question

How do you solve the equation $2x-6=18+6x$?

Answer 1

Hint: Now we have a linear equation in one variable. To find the solution of the given equation we will first transpose 2x to RHS and 18 to LHS. Now we will simplify the equation and divide the whole equation with the value of coefficient of x. Hence we will get the solution to the given equation.

Complete step by step solution:
Now we know that the given equation is a linear equation in x.
We want to solve the equation. To do so we will first rearrange the terms so that we have all the variable terms on one side and the constant terms on the other side. Now the variable terms in the equation are 6x and 2x. Since the terms are on the opposite side we will shift 2x from LHS to RHS. Now remember that while transposing we will change the sign of the equation.
$\Rightarrow -6=18+6x-2x$
Now similarly we will transpose 18 to LHS and hence we get,
$\Rightarrow -6-18=6x-2x$
Hence we have, $-24=4x$
Now dividing the whole equation by 4 we get,
$\Rightarrow -6=x$
Hence the value of x is – 6.
Hence we have the solution of the given equation – 6.

Note: Now note that when we have a solution to any equation we should always check the solution by substituting the obtained value in the given equation and check if the equation holds. Hence on substituting the value of x we must get LHS = RHS. Also note that for linear equations in one variable we always have only one solution.