Solve 45=3-x/1+3(x)

$$45 = \frac { 3 - x } { 1 + 3 ( x ) }$$

Solve for x

$$x=-\frac{21}{68}\approx -0.308823529$$

Steps for Solving Linear Equation

Variable x cannot be equal to -\frac{1}{3} since division by zero is not defined. Multiply both sides of the equation by 3x+1.

$$45\left(3x+1\right)=3-x$$

Use the distributive property to multiply 45 by 3x+1.

$$135x+45=3-x$$

Add x to both sides.

$$135x+45+x=3$$

Combine 135x and x to get 136x.

$$136x+45=3$$

Subtract 45 from both sides.

$$136x=3-45$$

Subtract 45 from 3 to get -42.

$$136x=-42$$

Divide both sides by 136.

$$x=\frac{-42}{136}$$

Reduce the fraction \frac{-42}{136} to lowest terms by extracting and canceling out 2.

$$x=-\frac{21}{68}$$