Question

Please solve!! 4 (x-6) + 10 = 6

Answer 1

$\huge\text{Hey there!}$

$\textsf{4(x - 6) + 10 = 6}$

$\textsf{Distribute}$

$\textsf{4(x) + 4(-6) + 10 = 6}$

$\textsf{4x - 24 + 10 = 6}$

$\textsf{COMBINE the LIKE TERMS}$

$\textsf{(4x) + (-24 + 10) = 6}$

$\textsf{-24 + 10 = -14}$

$\textsf{4x - 14 = 6}$

$\textsf{ADD 14 from BOTH SIDES}$

$\textsf{4x - 14 + 14 = 6 + 14}$

$\textsf{CANCEL out: -14 + 14 because that gives you 0}$

$\textsf{KEEP: 6 + 14 because that helps us solve for x}$

$\underline{\textsf{6 + 14 = 20}}$

$\textsf{New equation: 4x = 20}$

$\textsf{DIVIDE 4 from BOTH SIDES}$

$\mathsf{\dfrac{4x}{4}=\dfrac{20}{4}}$

$\textsf{CANCEL out}$: $\mathsf{\dfrac{4}{4}}$  $\textsf{because that gives you 1}$

$\textsf{KEEP}$: $\mathsf{\dfrac{20}{4}}$  $\textsf{because that solves and gives you x}$

$\mathsf{TEMPORARY\ EQUATION: x = \dfrac{20}{4}}$

$\mathsf{\dfrac{20}{5}=5}\\\\\\\mathsf{20\div4 = 5}\\\\\\\textsf{\bf x = 5}\large\checkmark$

$\boxed{\boxed{\large\textsf{Answer: \underline{\bf x = 5}}}}\huge\checkmark$

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

~$\frak{Amphitrite1040:)}$

Answer 2

4(x-6)+10=6. 4(x-6)=-4. x-6=-1. x=5