Solve 3(5x-12)+6(8x-96)=-48

$$3(5x-12)+6(8x-96)=-48$$

Solve for x

$$x = \frac{188}{21} = 8\frac{20}{21} \approx 8.952380952$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by 5x-12.

$$15x-36+6\left(8x-96\right)=-48$$

Use the distributive property to multiply 6 by 8x-96.

$$15x-36+48x-576=-48$$

Combine 15x and 48x to get 63x.

$$63x-36-576=-48$$

Subtract 576 from -36 to get -612.

$$63x-612=-48$$

Add 612 to both sides.

$$63x=-48+612$$

Add -48 and 612 to get 564.

$$63x=564$$

Divide both sides by 63.

$$x=\frac{564}{63}$$

Reduce the fraction \frac{564}{63} to lowest terms by extracting and canceling out 3.

$$x=\frac{188}{21}$$