Solve 3(5x-12)+6(8x-96)-8*8=-16

$$3(5x-12)+6(8x-96)-8 \times 8=-16$$

Solve for x

$$x = \frac{220}{21} = 10\frac{10}{21} \approx 10.476190476$$

Steps for Solving Linear Equation

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

$$15x-36+6\left(8x-96\right)-8\times 8=-16$$

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

$$15x-36+48x-576-8\times 8=-16$$

Combine 15x and 48x to get 63x.

$$63x-36-576-8\times 8=-16$$

Subtract 576 from -36 to get -612.

$$63x-612-8\times 8=-16$$

Multiply 8 and 8 to get 64.

$$63x-612-64=-16$$

Subtract 64 from -612 to get -676.

$$63x-676=-16$$

Add 676 to both sides.

$$63x=-16+676$$

Add -16 and 676 to get 660.

$$63x=660$$

Divide both sides by 63.

$$x=\frac{660}{63}$$

Reduce the fraction \frac{660}{63} to lowest terms by extracting and canceling out 3.

$$x=\frac{220}{21}$$