Question

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

Answer 1

-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

Answer 2

`\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}\\(-2x)/(-2)=(16)/(-2)\\\text{Cancel out:}(-2x)/(2)\text{ because it equals 1}\\\text{Keep:}(16)/(-2)\text{ because it helps us solve for the x-value}`

`x= \dffrac{16}{-2} \rightarrow16/=2 =8/-1\rightarrow-8`

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

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

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