Solve 56(x+11)=40+6(x+2)

$$56 ( x + 11 ) = 40 + 6 ( x + 2 )$$

Solve for x

$$x = -\frac{282}{25} = -11\frac{7}{25} = -11.28$$

Steps for Solving Linear Equation

Use the distributive property to multiply 56 by x+11.

$$56x+616=40+6\left(x+2\right)$$

Use the distributive property to multiply 6 by x+2.

$$56x+616=40+6x+12$$

Add 40 and 12 to get 52.

$$56x+616=52+6x$$

Subtract 6x from both sides.

$$56x+616-6x=52$$

Combine 56x and -6x to get 50x.

$$50x+616=52$$

Subtract 616 from both sides.

$$50x=52-616$$

Subtract 616 from 52 to get -564.

$$50x=-564$$

Divide both sides by 50.

$$x=\frac{-564}{50}$$

Reduce the fraction \frac{-564}{50} to lowest terms by extracting and canceling out 2.

$$x=-\frac{282}{25}$$