Respuesta :
You weren't clear with your question, but I am assuming you want to solve for the variable "x."
-2(x - 6) + 7 = 35
-2x + 12 + 7 = 35; distribute the -2
-2x + 19 = 35
-2x = 16; isolate the x variable (the variable you want to solve)
x = -8; divide by -2 to isolate the x variable
Answer:
[tex]x=-8[/tex]
Step-by-step explanation:
1) Distribute
[tex]-2(x-6)+7=35\\-2x+12+7=35[/tex]
2) Add the numbers
[tex]-2x+12+7=35\\-2x+19=35[/tex]
3) Subtract 19 from both sides of the equation
[tex]-2x+19=35\\-2x+19-19=35-19[/tex]
4) Simplify
A. Subtract the numbers
[tex]-2x+19-19=35-19\\-2x=35-19[/tex]
B. Subtract the numbers
[tex]-2x=35-19\\-2x=16[/tex]
5) Divide both sides of the equation by the same term
[tex]-2x=16 \\\frac{-2x}{-2} =\frac{16}{-2}[/tex]
6) Simplify
A. Cancel terms that are in both the numerator and denominator
[tex]\frac{-2x}{-2} =\frac{16}{-2}[/tex]
B. Divide the numbers
[tex]x=-8[/tex]
