Question

7/2 x+1/2x=1/2+9/2x help

Answer 1

Answer:

$x=-1$

Step-by-step explanation:

$\frac{7}{2}x+\frac{1}{2}x=\frac{1}{2}+\frac{9}{2}x$

Step 1: Simplify both sides of the equation.

$\frac{7}{2}x+\frac{1}{2}x=\frac{1}{2}+\frac{9}{2}x$

$(\frac{7}{2}x+\frac{1}{2}x)=\frac{9}{2}x+\frac{1}{2}$  (Combine Like Terms)

$4x=\frac{9}{2}x+\frac{1}{2}$

$4x=\frac{9}{2}x+\frac{1}{2}$

Step 2: Subtract $\frac{9}{2}x$ from both sides.

$4x-\frac{9}{2}x=\frac{9}{2}x+\frac{1}{2}-\frac{9}{2}x$

$\frac{-1}{2}x=\frac{1}{2}$

Step 3: Multiply both sides by $(\frac{2}{-1})$.

$(\frac{2}{-1})*(\frac{-1}{2}x)=(\frac{2}{-1})*(\frac{1}{2})$

$x=-1$

Therefore, $x=-1$ will be your final answer.

Sorry this took very long. I had to calculate all of this.