Solve 142(750x+938)=-1030380

$$142 ( 750 x + 938 ) = - 1030380$$

Solve for x

$$x = -\frac{290894}{26625} = -10\frac{24644}{26625} \approx -10.925596244$$

Steps for Solving Linear Equation

Divide both sides by 142.

$$750x+938=\frac{-1030380}{142}$$

Reduce the fraction \frac{-1030380}{142} to lowest terms by extracting and canceling out 2.

$$750x+938=-\frac{515190}{71}$$

Subtract 938 from both sides.

$$750x=-\frac{515190}{71}-938$$

Convert 938 to fraction \frac{66598}{71}.

$$750x=-\frac{515190}{71}-\frac{66598}{71}$$

Since -\frac{515190}{71} and \frac{66598}{71} have the same denominator, subtract them by subtracting their numerators.

$$750x=\frac{-515190-66598}{71}$$

Subtract 66598 from -515190 to get -581788.

$$750x=-\frac{581788}{71}$$

Divide both sides by 750.

$$x=\frac{-\frac{581788}{71}}{750}$$

Express \frac{-\frac{581788}{71}}{750} as a single fraction.

$$x=\frac{-581788}{71\times 750}$$

Multiply 71 and 750 to get 53250.

$$x=\frac{-581788}{53250}$$

Reduce the fraction \frac{-581788}{53250} to lowest terms by extracting and canceling out 2.

$$x=-\frac{290894}{26625}$$