Solve 198(x-4)+234(2x-8)-888(7x-28)=0

$$198 ( x - 4 ) + 234 ( 2 x - 8 ) - 888 ( 7 x - 28 ) = 0$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

Use the distributive property to multiply 198 by x-4.

$$198x-792+234\left(2x-8\right)-888\left(7x-28\right)=0$$

Use the distributive property to multiply 234 by 2x-8.

$$198x-792+468x-1872-888\left(7x-28\right)=0$$

Combine 198x and 468x to get 666x.

$$666x-792-1872-888\left(7x-28\right)=0$$

Subtract 1872 from -792 to get -2664.

$$666x-2664-888\left(7x-28\right)=0$$

Use the distributive property to multiply -888 by 7x-28.

$$666x-2664-6216x+24864=0$$

Combine 666x and -6216x to get -5550x.

$$-5550x-2664+24864=0$$

Add -2664 and 24864 to get 22200.

$$-5550x+22200=0$$

Subtract 22200 from both sides. Anything subtracted from zero gives its negation.

$$-5550x=-22200$$

Divide both sides by -5550.

$$x=\frac{-22200}{-5550}$$

Divide -22200 by -5550 to get 4.

$$x=4$$