Question

Which of the following numbers satisfy the equation $-6+x=-12$

• A. $2$
• B. $6$
• C. $-6$
• D. $-2$

Answer 1

The correct option is C

$-6$

Solution of the equation.

Explanation of correct option:

Option C. $-6$

Solve the given equation for $x$:

$$\begin{gathered} -6+x=-12 \\ \Rightarrow x=-12+6 \\ \therefore x=-6 \end{gathered}$$

Hence, Option C is the correct option.

Explanation of incorrect option:

Option A.$x=2$

Any value of $x$ is the solution of the equation if it satisfies the equation.

Put $x=2$,

$$\begin{gathered} \mathrm{LHS}=-6+\mathrm{x} \\ =-6+2 \\ =-4\ne -12 \\ \ne \mathrm{RHS} \end{gathered}$$

$x=2$ is not the solution to the equation.

Hence Option A is the incorrect option.

Option B .$x=6$

Any value of $x$ is the solution of the equation if it satisfies the equation.

Put $x=6$

$$\begin{gathered} \mathrm{LHS}=-6+\mathrm{x} \\ =-6+6 \\ =0\ne -12 \\ \ne \mathrm{RHS} \end{gathered}$$

$x=6$ is not the solution to the equation.

Hence Option B is the incorrect option.

Option D .$x=-2$

Any value of $x$ is the solution of the equation if it satisfies the equation.

Put $x=-2$

$$\begin{gathered} \mathrm{LHS}=-6-2 \\ =-8 \\ =-8\ne -12 \\ \ne \mathrm{RHS} \end{gathered}$$

$x=-2$ is not the solution to the equation.

Hence Option D is the incorrect option.

Hence, Option A, Option B, and Option D are the incorrect options.

Hence, the correct option is Option C.