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

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

Solve for x

$$x=500$$

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.

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

Add 650 and 2850 to get 3500.

$$50x+3500=57x$$

Subtract 57x from both sides.

$$50x+3500-57x=0$$

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

$$-7x+3500=0$$

Subtract 3500 from both sides. Anything subtracted from zero gives its negation.

$$-7x=-3500$$

Divide both sides by -7.

$$x=\frac{-3500}{-7}$$

Divide -3500 by -7 to get 500.

$$x=500$$