Solve 9*(11x-5)+7*(4x+8)=392

$$9 \cdot ( 11 x - 5 ) + 7 \cdot ( 4 x + 8 ) = 392$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Use the distributive property to multiply 9 by 11x-5.

$$99x-45+7\left(4x+8\right)=392$$

Use the distributive property to multiply 7 by 4x+8.

$$99x-45+28x+56=392$$

Combine 99x and 28x to get 127x.

$$127x-45+56=392$$

Add -45 and 56 to get 11.

$$127x+11=392$$

Subtract 11 from both sides.

$$127x=392-11$$

Subtract 11 from 392 to get 381.

$$127x=381$$

Divide both sides by 127.

$$x=\frac{381}{127}$$

Divide 381 by 127 to get 3.

$$x=3$$