Solve x+13/57-1=x/50

$$\frac{ x+13 }{ 57 } -1 = \frac{ x }{ 50 }$$

Solve for x

$$x = -\frac{2200}{7} = -314\frac{2}{7} \approx -314.285714286$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2850, the least common multiple of 57,50.

$$50\left(x+13\right)-2850=57x$$

Use the distributive property to multiply 50 by x+13.

$$50x+650-2850=57x$$

Subtract 2850 from 650 to get -2200.

$$50x-2200=57x$$

Subtract 57x from both sides.

$$50x-2200-57x=0$$

Combine 50x and -57x to get -7x.

$$-7x-2200=0$$

Add 2200 to both sides. Anything plus zero gives itself.

$$-7x=2200$$

Divide both sides by -7.

$$x=\frac{2200}{-7}$$

Fraction \frac{2200}{-7} can be rewritten as -\frac{2200}{7} by extracting the negative sign.

$$x=-\frac{2200}{7}$$