Solve x=8-5x+5/4

$$x = 8 - \frac { 5 x + 5 } { 4 }$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Divide each term of 5x+5 by 4 to get \frac{5}{4}x+\frac{5}{4}.

$$x=8-\left(\frac{5}{4}x+\frac{5}{4}\right)$$

To find the opposite of \frac{5}{4}x+\frac{5}{4}, find the opposite of each term.

$$x=8-\frac{5}{4}x-\frac{5}{4}$$

Convert 8 to fraction \frac{32}{4}.

$$x=\frac{32}{4}-\frac{5}{4}x-\frac{5}{4}$$

Since \frac{32}{4} and \frac{5}{4} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{32-5}{4}-\frac{5}{4}x$$

Subtract 5 from 32 to get 27.

$$x=\frac{27}{4}-\frac{5}{4}x$$

Add \frac{5}{4}x to both sides.

$$x+\frac{5}{4}x=\frac{27}{4}$$

Combine x and \frac{5}{4}x to get \frac{9}{4}x.

$$\frac{9}{4}x=\frac{27}{4}$$

Multiply both sides by \frac{4}{9}, the reciprocal of \frac{9}{4}.

$$x=\frac{27}{4}\times \frac{4}{9}$$

Multiply \frac{27}{4} times \frac{4}{9} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{27\times 4}{4\times 9}$$

Cancel out 4 in both numerator and denominator.

$$x=\frac{27}{9}$$

Divide 27 by 9 to get 3.

$$x=3$$