Respuesta :

Answer:

x = 2

Step-by-step explanation:

5x + 3 = 7x - 1

Subtract 3 to both sides

5x = 7x - 4

Subtract 7x to both sides

-2x = -4

Divide by -2 to both sides.

x = 2

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The value of x is 2.

Given that,

Equation; [tex]\rm 5x+3 = 7x-1[/tex]

We have to determine,

The value of x?

According to the question,

Equation; [tex]\rm 5x+3 = 7x-1[/tex]

To determine the value of x following all the steps given below.

  • Step1; Subtract 3 from both sides,

                   [tex]\rm 5x+3 = 7x-1\\\\5x+3-3= 7x-1-3\\\\5x = 7x-4[/tex]

  • Step2; Again subtract 7x from both sides,

                   [tex]\rm 5x = 7x-4\\\\5x-7x = 7x-4-7x\\\\-2x = -4[/tex]

  • Step3; Multiply the equation by (-) sign,

                    [tex]\rm -2x= -4\\\\-(-2x)= -(-4)\\\\2x = 4[/tex]

  • Step4; Divide the equation by 2 from both sides,

                   [tex]\rm 2x= 4\\\\\dfrac{2x}{2} = \dfrac{4}{2}\\\\x = 2[/tex]

Hence, The required value of x is 2.

For more details refer to the link given below.

https://brainly.com/question/8648625