Solve 88.73=3-x/1+3x

$$88.73 = \frac{ 3-x }{ 1+3x }$$

Solve for x

$$x=-\frac{8573}{26719}\approx -0.320857817$$

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.

$$88.73\left(3x+1\right)=3-x$$

Use the distributive property to multiply 88.73 by 3x+1.

$$266.19x+88.73=3-x$$

Add x to both sides.

$$266.19x+88.73+x=3$$

Combine 266.19x and x to get 267.19x.

$$267.19x+88.73=3$$

Subtract 88.73 from both sides.

$$267.19x=3-88.73$$

Subtract 88.73 from 3 to get -85.73.

$$267.19x=-85.73$$

Divide both sides by 267.19.

$$x=\frac{-85.73}{267.19}$$

Expand \frac{-85.73}{267.19} by multiplying both numerator and the denominator by 100.

$$x=\frac{-8573}{26719}$$

Fraction \frac{-8573}{26719} can be rewritten as -\frac{8573}{26719} by extracting the negative sign.

$$x=-\frac{8573}{26719}$$