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.✅