Respuesta :

TheAnimeGirl

Answer:

[tex] \huge{ \fbox{ \tt{x = - 10}}}[/tex]

Step-by-step explanation:

[tex] \star{ \sf{ \: - 9x + 7 = - 6x + 37}}[/tex]

[tex] \text{Step \: 1} : \sf{Move \: 6x \: to \: left \: hand \: side \: and \: change \: its \: sign}[/tex]

[tex] \mapsto{ \sf{ - 9x + 6x + 7 = 37}}[/tex]

[tex] \text{ Step \: 2} : \sf{Move \: 7 \: to \: right \: hand \: side \: and \: change \: its \: sign}[/tex]

[tex] \mapsto{ \sf{ - 9x + 6x = 37 - 7}}[/tex]

[tex] \text{Step \: 3} : \sf{Collect \: like \: terms}[/tex]

[tex] \sf{Like \: terms \: are \: those \: which \: have \: the \: same \: base.}[/tex]

[tex] \mapsto{ \sf{ - 3x = 37 - 7}}[/tex]

[tex] \text{ Step \: 4} : \sf{Subtract \: 7 \: from \: 37}[/tex]

[tex] \mapsto{ \sf{ - 3x = 30}}[/tex]

[tex] \text{Step \: 5} : \sf{Divide \: both \: sides \: by \: - 3}[/tex]

[tex] \mapsto{ \sf{ \frac{ - 3x}{ - 3} = \frac{30}{ - 3}}} [/tex]

[tex] \text{Step \: 6} : \sf{Calculate}[/tex]

[tex] \mapsto{ \sf{x = - 10}}[/tex]

Hope I helped!

Best regards! :D

~[tex] \sf{TheAnimeGirl}[/tex]

The value of x in the given equation -9x+7= -6x + 37 will be -10.

What is the equation?

An equation can be defined in numerous ways. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions.

More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.

Given the equation

-9x+7= -6x + 37

-9x + 6x = 37 - 7

-3x = 30

x = -30/3

x = -10

Hence correct answer will be -10.

For more about the equation,

brainly.com/question/10413253

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