Question

1. 3x-9=7+x,x 2. 4x+10=46-2x,x 3. 16-7x=5x-8,x 4. 7-3x=28-4x,x

Answer 1

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Answer 2

To solve these equations for the variable $x$, you can follow these steps:

1. $3x - 9 = 7 + x$: Start by isolating $x$. You can do this by moving all terms containing $x$ to one side of the equation and constants to the other side.

   $3x - x = 7 + 9$

   Combine like terms:

   $2x = 16$

   Now, divide both sides by 2 to solve for $x$:

   $x = \frac{16}{2}$

   $x = 8$

2. $4x + 10 = 46 - 2x$: Similarly, isolate $x$:

   $4x + 2x = 46 - 10$

   Combine like terms:

   $6x = 36$

   Divide both sides by 6:

   $x = \frac{36}{6}$

   $x = 6$

3. $16 - 7x = 5x - 8$: Isolate $x$:

   $16 + 8 = 5x + 7x$

   Combine like terms:

   $24 = 12x$

   Divide both sides by 12:

   $x = \frac{24}{12}$

   $x = 2$

4. $7 - 3x = 28 - 4x$: Isolate $x$:

   $7 + 4x - 3x = 28$

   Combine like terms:

   $7 + x = 28$

   Now, subtract 7 from both sides:

   $x = 28 - 7$

   $x = 21$

So, the solutions for $x$ in these equations are:

1. $x = 8$
2. $x = 6$
3. $x = 2$
4. $x = 21$