Solve 1.5/150+x=0.0745

$$\frac { 1.5 } { 150 + x } = 0.0745$$

Solve for x

$$x = -\frac{19350}{149} = -129\frac{129}{149} \approx -129.865771812$$

Steps for Solving Linear Equation

Variable x cannot be equal to -150 since division by zero is not defined. Multiply both sides of the equation by x+150.

$$1.5=0.0745\left(x+150\right)$$

Use the distributive property to multiply 0.0745 by x+150.

$$1.5=0.0745x+11.175$$

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

$$0.0745x+11.175=1.5$$

Subtract 11.175 from both sides.

$$0.0745x=1.5-11.175$$

Subtract 11.175 from 1.5 to get -9.675.

$$0.0745x=-9.675$$

Divide both sides by 0.0745.

$$x=\frac{-9.675}{0.0745}$$

Expand \frac{-9.675}{0.0745} by multiplying both numerator and the denominator by 10000.

$$x=\frac{-96750}{745}$$

Reduce the fraction \frac{-96750}{745} to lowest terms by extracting and canceling out 5.

$$x=-\frac{19350}{149}$$