Question

3x = 2x + 7
4 5
x = ?

Answer 1

Solve for x | Solution and Explanation

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We are given the following expression:

`(3x)/(4) =(2x+7)/(5)`

1. Apply fraction cross multiply (if
`(a)/(b)=(c)/(d)`, then
`a` ×
`d` =
`b` ×
`c`)

• 
  `3x` ×
  `5 = 4(2x+7)`

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2. Simplify.

• 
  `15x=4(2x+7)`

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3. Expand 4(2x + 7).

• 
  `15x=8x+28`

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4. Subtract 8x from both sides.

• 
  `15x-8x=8x+28-8x`

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5. Simplify.

• 
  `7x=28`

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6. Divide both sides by 7.

• 
  `(7x)/(7)=(28)/(7)`

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7. Simplify.

• 
  `x=4`

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Hope this helps!