Solve 18(11x+21)=-26(x-4)

$$18 ( 11 x + 21 ) = - 26 ( x - 4 )$$

Solve for x

$$x = -\frac{137}{112} = -1\frac{25}{112} \approx -1.223214286$$

Steps for Solving Linear Equation

Use the distributive property to multiply 18 by 11x+21.

$$198x+378=-26\left(x-4\right)$$

Use the distributive property to multiply -26 by x-4.

$$198x+378=-26x+104$$

Add 26x to both sides.

$$198x+378+26x=104$$

Combine 198x and 26x to get 224x.

$$224x+378=104$$

Subtract 378 from both sides.

$$224x=104-378$$

Subtract 378 from 104 to get -274.

$$224x=-274$$

Divide both sides by 224.

$$x=\frac{-274}{224}$$

Reduce the fraction \frac{-274}{224} to lowest terms by extracting and canceling out 2.

$$x=-\frac{137}{112}$$