Solve 2.5=50-x/5+x

$$2.5= \frac{ 50-x }{ 5+x }$$

Solve for x

$$x = \frac{75}{7} = 10\frac{5}{7} \approx 10.714285714$$

Steps for Solving Linear Equation

Variable x cannot be equal to -5 since division by zero is not defined. Multiply both sides of the equation by x+5.

$$2.5\left(x+5\right)=50-x$$

Use the distributive property to multiply 2.5 by x+5.

$$2.5x+12.5=50-x$$

Add x to both sides.

$$2.5x+12.5+x=50$$

Combine 2.5x and x to get 3.5x.

$$3.5x+12.5=50$$

Subtract 12.5 from both sides.

$$3.5x=50-12.5$$

Subtract 12.5 from 50 to get 37.5.

$$3.5x=37.5$$

Divide both sides by 3.5.

$$x=\frac{37.5}{3.5}$$

Expand \frac{37.5}{3.5} by multiplying both numerator and the denominator by 10.

$$x=\frac{375}{35}$$

Reduce the fraction \frac{375}{35} to lowest terms by extracting and canceling out 5.

$$x=\frac{75}{7}$$