Answer:

X=10

Step-by-step explanation:

1/2x+ 5=x

0.5x-x= -5

0.5x= -5

x=5/0.5

x=10

Solution:

Multiply the equation by two.

• [tex] \sf \frac{1}{2} (2)\: x + 5(2) = x(2)[/tex]
• [tex] \sf x + 10 = 2x[/tex]

Move the constant to the right and change its sign. Then, collect all the similar terms.

• [tex] \sf x + 2x = - 10[/tex]
• [tex] \sf x - 2x = - 10[/tex]
• [tex] \sf - x = - 10[/tex]

Divide both sides to make it a positive number. The variable x has an invisible 1.

• [tex] \sf - \frac{ \cancel{ -1} x}{ \cancel{- 1 }} = \frac{ - 10}{ - 1} [/tex]

• [tex] \red {\sf{x = 10}}[/tex]

Therefore, the value of x is 10.