Respuesta :

Answer:

[tex] x = \frac{5}{13} [/tex]

Step-by-step explanation:

[tex] \frac{3}{4} x + \frac{5}{4} = 4x[/tex]

Let's rewrite the equation so that we can combine like terms.

[tex] \frac{5}{4} = 4x - \frac{3}{4} x \\ \\ \frac{5}{4} = \frac{13}{4} x[/tex]

Now, we can divide both sides by 13/4 using reciropcals.

[tex]x = \frac{5}{4} \div \frac{13}{4} = \frac{5}{4} \times \frac{4}{13} \\ x = \frac{5}{13} [/tex]

JeanaShupp

Answer: [tex]x=\dfrac{5}{13}[/tex]

Step-by-step explanation:

The given equation : [tex]\dfrac{3}{4}x+\dfrac{5}{4}=4x[/tex]

To solve the above equation , we first multiply 4 on both the sides , then we get

[tex]4(\dfrac{3}{4}x+\dfrac{5}{4})=4(4x)\\\\\Rightarrow\ 4\times\dfrac{3}{4}x+4\times\dfrac{5}{4}=16x\\\\\Rightarrow\ 3x+5=16x[/tex]

Now, Subtract 5x on both the sides , we get

[tex]3x+5-3x=16x-3x\\\\\Rightarrow\ 5=13x\\\\\Rightarrow\ x=\dfrac{5}{13}[/tex]

Hence, the value of [tex]x=\dfrac{5}{13}[/tex]

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