Solve 13=x+3/4-x

$$13 = \frac { x + 3 } { 4 - x }$$

Solve for x

$$x = \frac{7}{2} = 3\frac{1}{2} = 3.5$$

Steps for Solving Linear Equation

Variable x cannot be equal to 4 since division by zero is not defined. Multiply both sides of the equation by -x+4.

$$13\left(-x+4\right)=x+3$$

Use the distributive property to multiply 13 by -x+4.

$$-13x+52=x+3$$

Subtract x from both sides.

$$-13x+52-x=3$$

Combine -13x and -x to get -14x.

$$-14x+52=3$$

Subtract 52 from both sides.

$$-14x=3-52$$

Subtract 52 from 3 to get -49.

$$-14x=-49$$

Divide both sides by -14.

$$x=\frac{-49}{-14}$$

Reduce the fraction \frac{-49}{-14} to lowest terms by extracting and canceling out -7.

$$x=\frac{7}{2}$$