Solve 3(5x-4)+6(8x-96)=-48

$$3(5x-4)+6(8x-96)=-48$$

Solve for x

$$x = \frac{60}{7} = 8\frac{4}{7} \approx 8.571428571$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by 5x-4.

$$15x-12+6\left(8x-96\right)=-48$$

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

$$15x-12+48x-576=-48$$

Combine 15x and 48x to get 63x.

$$63x-12-576=-48$$

Subtract 576 from -12 to get -588.

$$63x-588=-48$$

Add 588 to both sides.

$$63x=-48+588$$

Add -48 and 588 to get 540.

$$63x=540$$

Divide both sides by 63.

$$x=\frac{540}{63}$$

Reduce the fraction \frac{540}{63} to lowest terms by extracting and canceling out 9.

$$x=\frac{60}{7}$$