Given:
Consider the equation
[tex]2+\dfrac{2x}{5}=-10[/tex]
To find:
The steps and solution for the given equation.
Solution:
We have,
[tex]2+\dfrac{2x}{5}=-10[/tex]
Step 1: Using subtraction property of equality, subtract 2 from both sides.
[tex]2+\dfrac{2x}{5}-2=-10-2[/tex]
[tex]\dfrac{2x}{5}=-12[/tex]
Step 2: Using multiplication property of equality, multiply both sides by 5.
[tex]\dfrac{2x}{5}\times 5=-12\times 5[/tex]
[tex]2x=-60[/tex]
Step 3: Using division property of equality, divide both sides by 2.
[tex]\dfrac{2x}{2}=\dfrac{-60}{2}[/tex]
[tex]x=-30[/tex]
Therefore, the solution of the given equation is [tex]x=-30[/tex].
