Solve (x+5)*5/2+(5-x)*5/2=5x5

$$\frac { ( x + 5 ) \times 5 } { 2 } + \frac { ( 5 - x ) \times 5 } { 2 } = 5 x 5$$

Solve for x_5

$$x_{5}=5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$\left(x+5\right)\times 5+\left(5-x\right)\times 5=10x_{5}$$

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

$$5x+25+\left(5-x\right)\times 5=10x_{5}$$

Use the distributive property to multiply 5-x by 5.

$$5x+25+25-5x=10x_{5}$$

Add 25 and 25 to get 50.

$$5x+50-5x=10x_{5}$$

Combine 5x and -5x to get 0.

$$50=10x_{5}$$

Swap sides so that all variable terms are on the left hand side.

$$10x_{5}=50$$

Divide both sides by 10.

$$x_{5}=\frac{50}{10}$$

Divide 50 by 10 to get 5.

$$x_{5}=5$$

Solve for x (complex solution)

$$x\in \mathrm{C}$$

$$x_{5}=5$$

Solve for x

$$x\in \mathrm{R}$$

$$x_{5}=5$$