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solve for x: 4x(3y-2)=7x+11

Sagot :

malorm25

Answer:

x=11(12y-15)

Step-by-step explanation:

4x(3y-2)=7x+11

12xy-8x=7x+11

12xy-8x-7x=11

12xy-15x=11

x(12y-15)=11

x(12y-15)/(12y-15)=11/(12y-15)

x=11/(12y-15)

MathTutors

Answer: [tex]x=\frac{11}{12y-15}[/tex]

Step-by-step explanation:

To solve for x, we want to isolate the variable.

[tex]4x(3y-2)=7x+11[/tex]      [distribute]

[tex]12xy-8x=7x+11[/tex]       [subtract both sides by 7x]

[tex]12xy-8x-7x=11[/tex]       [combine like terms]

[tex]12xy-15x=11[/tex]             [factor out x]

[tex]x(12y-15)=11[/tex]             [divide both sides by 12y-15]

[tex]x=\frac{11}{12y-15}[/tex]

Now, we know that [tex]x=\frac{11}{12y-15}[/tex].

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