Solve -8(35x+40)=-16(1+17x)+11x

$$- 8 ( 35 x + 40 ) = - 16 ( 1 + 17 x ) + 11 x$$

Solve for x

$$x=-16$$

Steps for Solving Linear Equation

Use the distributive property to multiply -8 by 35x+40.

$$-280x-320=-16\left(1+17x\right)+11x$$

Use the distributive property to multiply -16 by 1+17x.

$$-280x-320=-16-272x+11x$$

Combine -272x and 11x to get -261x.

$$-280x-320=-16-261x$$

Add 261x to both sides.

$$-280x-320+261x=-16$$

Combine -280x and 261x to get -19x.

$$-19x-320=-16$$

Add 320 to both sides.

$$-19x=-16+320$$

Add -16 and 320 to get 304.

$$-19x=304$$

Divide both sides by -19.

$$x=\frac{304}{-19}$$

Divide 304 by -19 to get -16.

$$x=-16$$