Question

Explain how to solve -2(x+3)=10

Answer 1

$\text{Hey there!}$

$\text{The formula for distributing is: a(b + c) = a(b) + a(c) = ab + ac}$

$\text{-2(x + 3)= 10}\\\text{Distribute: -2(x) + (-2)(3) = -2x - 6}\\\text{Your new equation: -2x - 6 = 10}\\\text{The opposite of subtraction is addition so add by 6 on your sides.}\\\text{-2x - 6 + 6 = 10 + 6}\\\text{Cancel out: -6 + 6 because it equals to 0}\\\text{Keep: 10 + 6 because it helps us solve for our x-value}\\\text{10 + 6 = 16}$

$\text{New equation: -2x = 16}\\\text{Divide by -2 on your sides}\\\dfrac{-2x}{-2}=\dfrac{16}{-2}\\\text{Cancel out:}\dfrac{-2x}{2}\text{ because it equals 1}\\\text{Keep:}\dfrac{16}{-2}\text{ because it helps us solve for the x-value}$

$x= \dffrac{16}{-2} \rightarrow16\div=2 =8\div-1\rightarrow-8$

$\boxed{\boxed{\bf{x = -8}}}\checkmark$

$\text{Good luck on your assignment and enjoy your day!}$

~$\frak{LoveYourselfFirat:)}$

Answer 2

-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