Solve 10(7-x)+x+27=10x+(11-x)

$$10(7-x)+x+27=10x+(11-x)$$

Solve for x

$$x = \frac{43}{9} = 4\frac{7}{9} \approx 4.777777778$$

Steps for Solving Linear Equation

Use the distributive property to multiply 10 by 7-x.

$$70-10x+x+27=10x+11-x$$

Combine -10x and x to get -9x.

$$70-9x+27=10x+11-x$$

Add 70 and 27 to get 97.

$$97-9x=10x+11-x$$

Combine 10x and -x to get 9x.

$$97-9x=9x+11$$

Subtract 9x from both sides.

$$97-9x-9x=11$$

Combine -9x and -9x to get -18x.

$$97-18x=11$$

Subtract 97 from both sides.

$$-18x=11-97$$

Subtract 97 from 11 to get -86.

$$-18x=-86$$

Divide both sides by -18.

$$x=\frac{-86}{-18}$$

Reduce the fraction \frac{-86}{-18} to lowest terms by extracting and canceling out -2.

$$x=\frac{43}{9}$$