Solve 5left(10+34.57xright)/25+25x/25+34.57x-10/25=0

$$\frac{ 5 \left( 10+34.57x \right) }{ 25 } + \frac{ 25x }{ 25 } + \frac{ 34.57x-10 }{ 25 } = 0$$

Solve for x

$$x=-\frac{2000}{11621}\approx -0.172102229$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 25.

$$5\left(10+34.57x\right)+25x+34.57x-10=0$$

Use the distributive property to multiply 5 by 10+34.57x.

$$50+172.85x+25x+34.57x-10=0$$

Combine 172.85x and 25x to get 197.85x.

$$50+197.85x+34.57x-10=0$$

Combine 197.85x and 34.57x to get 232.42x.

$$50+232.42x-10=0$$

Subtract 10 from 50 to get 40.

$$40+232.42x=0$$

Subtract 40 from both sides. Anything subtracted from zero gives its negation.

$$232.42x=-40$$

Divide both sides by 232.42.

$$x=\frac{-40}{232.42}$$

Expand \frac{-40}{232.42} by multiplying both numerator and the denominator by 100.

$$x=\frac{-4000}{23242}$$

Reduce the fraction \frac{-4000}{23242} to lowest terms by extracting and canceling out 2.

$$x=-\frac{2000}{11621}$$