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3 years ago

5x – 4 = x - 16 solve the equation

Mathematics

2 answers:

puteri [66]3 years ago

8 0

Answer:

x = - 3

Step-by-step explanation:

Given

5x - 4 = x - 16 ( subtract x from both sides )

4x - 4 = - 16 ( add 4 to both sides )

4x = - 12 ( divide both sides by 4 )

x = - 3

Ulleksa [173]3 years ago

6 0

Answer:

$\huge{ \fbox{ \sf{x = -3}}}$

Step-by-step explanation:

$\star{ \sf{ \: 5x - 4 = x - 16}}$

$\text{Step \: 1 \: : \sf{ \: Move \: x \: to \: left \: hand \: side \: and \: change \: its \: sign.}}$

$\hookrightarrow{ \sf{5x - x - 4 = - 16}}$

$\text{Step \: 2 \: : \sf{ \: Move \: 4 \: to \: right \: hand \: side \: and \: change \: its \: sign.}}$

$\hookrightarrow{ \sf{ 5x - x = - 16 + 4}}$

$\text{Step \: 3 \: : \sf{Collect \: like \: terms}}$

$\hookrightarrow{ \sf{ 4x = - 16 + 4}}$

$\text{Step \: 4 \: : \sf{Calculate}}$

$\text{ \underline{Remember! : }} \sf{ \: The \: \: negative \: and \: positive \: integers \: are \: always \: subtracted \: but \: posses \: the \: sign \: of \: the \: bigger \: integer.}$

$\hookrightarrow{ \sf{ 4x = - 12}}$

$\text{Step \: 4 \: : Divide \: both \: sides \: by \: - 6}$

$\hookrightarrow{ \sf{ \frac{ 4x}{ 4} = \frac{ - 12}{ 4}}}$

$\text{Step \: 5 \: : Calculate}$

$\hookrightarrow{ \sf{x = -3}}$

The value of x is -3 .

Hope I helped!

Best regards! :D

~ $\sf{TheAnimeGirl}$

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