Solve 4=|x+x*0.0000232*492

$$4 = | x + x \cdot 0.0000232 \cdot 492$$

Solve for x

$$x = -\frac{1250000}{316067} = -3\frac{301799}{316067} \approx -3.954857673$$

$$x = \frac{1250000}{316067} = 3\frac{301799}{316067} \approx 3.954857673$$

Steps Using Definition of Absolute Value

Multiply 0.0000232 and 492 to get 0.0114144.

$$4=|x+x\times 0.0114144|$$

Combine x and x\times 0.0114144 to get 1.0114144x.

$$4=|1.0114144x|$$

Swap sides so that all variable terms are on the left hand side.

$$|1.0114144x|=4$$

Use the definition of absolute value.

$$1.0114144x=4 1.0114144x=-4$$

Divide both sides of the equation by 1.0114144, which is the same as multiplying both sides by the reciprocal of the fraction.

$$x=\frac{1250000}{316067} x=-\frac{1250000}{316067}$$