Respuesta :

Hello and Good Morning/Afternoon:

Let's take this problem step-by-step:

   [tex]\hookrightarrow \text{we will use our algebraic knowledge}[/tex]

          [tex]\text{Write out the original equation}\\6=2-2x+10\\\\ \text{Subtract 2 from both sides}\\6-2=2-2x+10+(-2)\\4=-2x+10\\\\\text{Here let's subtract 10 from both sides}\\4-10=-2x+10+(-10)\\-6=-2x\\\\ \text{Divide by -2}\\\frac{-6}{-2}=\frac{-2x}{-2}\\ x=3[/tex]

Answer: x = 3

Hope that helps!

#LearnwithBrainly

Linear equations

6=2 ➖ 2x ➕ 10

We move all the terms to the left:

6-(2 ➖ 2x ➕ 10) = 0

We add all the numbers and all the variables.

➖(➖2x ➕ 12) ➕ 6 = 0

We get rid of the parentheses.

2x ➖ 12 ➕ 6 = 0

We add all the numbers and all the variables.

2x ➖ 6 = 0

We move all terms containing x to the left hand side, all other terms to the right hand sides.

2x = 6

x = 6/2

x = 3

Therefore, in the linear equation 6 = 2 - 2x + 10, the value of "x" is equal to 3.✅