Question

Solve each absolute value equation -4[x] + 10 = 50

Answer 1

$\large\boxed{\mathsf{-4[x] + 10 = 50}}\\\large\boxed{\rightarrow\mathsf{-4x + 10 = 50}}\\\\\large\text{SUBTRACT 10 to BOTH SIDES}\\\large\boxed{\mathsf{-4x + 10 - 10 = 50 - 10}}\\\large\text{CANCEL out: 10 - 10 because that gives you 0}\\\large\text{KEEP: 50 - 10 because it helps solve for the x-value}\\\\\large\boxed{\mathsf{50 - 10 = \bf 40}}\\\large\boxed{\mathsf{-4x = 40}}\\\\\large\text{DIVIDE -4 to BOTH SIDES}\\\large\boxed{\mathsf{\dfrac{-4x}{4}=\dfrac{40}{-4}}}$

$\large\text{CANCEL out: }\rm{\dfrac{-4}{-4}}\large\text{ because that gives you 1}\\\large\text{KEEP: }\rm{\dfrac{40}{-4}}\large\text{ because it gives you the x-value answer}\\\\\large\boxed{\mathsf{x = \dfrac{40}{-4}}}\\\\\large\text{SIMPLIFY IT AND YOU HAVE THE RESULT OF THE X! }\\\\\huge\boxed{\text{Therefore, your answer is: \textsf{x = -10}}}\huge\checkmark$

$\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\frak{Amphitrite1040:)}$

Answer 2

Step-by-step explanation:

$\bf \underline{Given-}$

$\sf{ - 4(x) + 10 = 50}$

$\bf \underline{To \: find-}$

$\sf{ \:the \: value \: of \: x = \: ? }$

$\bf \underline{Solution-}$

$\textsf{Given equation,}$

$\sf{ - 4(x) + 10 = 50}$

• Now, multiply -4 from (x) to get -4x.

$\sf{ \Rightarrow \: - 4x + 10 = 50 }$

• Now, +10 will move to RHS then it's sign will be charged -10

$\sf{ \Rightarrow \: - 4x = 50 - 10}$

• Subtract 50 from -10 to get 40. Because 50 is greater than -10.

$\sf{ \Rightarrow \: - 4x = 40 }$

$\sf{ \Rightarrow \: x = \cancel\frac{ - {40}^{- 10 }}{4}}$

${ \: \therefore \: \underline{ \boxed{{ \sf{x = - 10.}}}}}$