emilyjanae3476 emilyjanae3476
  • 25-11-2021
  • Mathematics
contestada

Find x in terms of the other letters a( x + b ) = c( x + d )

Respuesta :

Wallameg000
Wallameg000 Wallameg000
  • 25-11-2021

Answer:

[tex]x=\frac{cd-ab}{a-c}[/tex]

Step-by-step explanation:

The question is worded in a complicated way. All it says is to solve the equation for x. Do this by isolating x on one side of the equation.

First step is to distribute the a and c on either side,

  • ax+ab=cx+cd

Subtract cx from both sides,

  • ax+ab-cx=cd

Next, subtract ab from both sides,

  • ax-cx=cd-ab

Then, factor out x from the left side,

  • x(a-c)=cd-ab

Finally, divide both sides by a-c,

  • [tex]x=\frac{cd-ab}{a-c}[/tex]

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