Answer :
-2x - 3 = 10 Distribute -2 to (x+3)
-2x = 7 Add 3 on both sides to __ isolate x
-2x/-2 = 7/-2 Divide -2 on both _ sides to isolate x
x = -3.5
-2x = 7 Add 3 on both sides to __ isolate x
-2x/-2 = 7/-2 Divide -2 on both _ sides to isolate x
x = -3.5
[tex]\text{Hey there!}[/tex]
[tex]\text{The formula for distributing is: a(b + c) = a(b) + a(c) = ab + ac}[/tex]
[tex]\text{-2(x + 3)= 10}\\\text{Distribute: -2(x) + (-2)(3) = -2x - 6}\\\text{Your new equation: -2x - 6 = 10}\\\text{The opposite of subtraction is addition so add by 6 on your sides.}\\\text{-2x - 6 + 6 = 10 + 6}\\\text{Cancel out: -6 + 6 because it equals to 0}\\\text{Keep: 10 + 6 because it helps us solve for our x-value}\\\text{10 + 6 = 16}[/tex]
[tex]\text{New equation: -2x = 16}\\\text{Divide by -2 on your sides}\\\dfrac{-2x}{-2}=\dfrac{16}{-2}\\\text{Cancel out:}\dfrac{-2x}{2}\text{ because it equals 1}\\\text{Keep:}\dfrac{16}{-2}\text{ because it helps us solve for the x-value}[/tex]
[tex]x= \dffrac{16}{-2} \rightarrow16\div=2 =8\div-1\rightarrow-8[/tex]
[tex]\boxed{\boxed{\bf{x = -8}}}\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
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