Solve x=23/8*(3-x)

$$x = 2 \frac { 3 } { 8 } \cdot ( 3 - x )$$

Solve for x

$$x = \frac{19}{9} = 2\frac{1}{9} \approx 2.111111111$$

Steps for Solving Linear Equation

Multiply 2 and 8 to get 16.

$$x=\frac{16+3}{8}\left(3-x\right)$$

Add 16 and 3 to get 19.

$$x=\frac{19}{8}\left(3-x\right)$$

Use the distributive property to multiply \frac{19}{8} by 3-x.

$$x=\frac{19}{8}\times 3+\frac{19}{8}\left(-1\right)x$$

Express \frac{19}{8}\times 3 as a single fraction.

$$x=\frac{19\times 3}{8}+\frac{19}{8}\left(-1\right)x$$

Multiply 19 and 3 to get 57.

$$x=\frac{57}{8}+\frac{19}{8}\left(-1\right)x$$

Multiply \frac{19}{8} and -1 to get -\frac{19}{8}.

$$x=\frac{57}{8}-\frac{19}{8}x$$

Add \frac{19}{8}x to both sides.

$$x+\frac{19}{8}x=\frac{57}{8}$$

Combine x and \frac{19}{8}x to get \frac{27}{8}x.

$$\frac{27}{8}x=\frac{57}{8}$$

Multiply both sides by \frac{8}{27}, the reciprocal of \frac{27}{8}.

$$x=\frac{57}{8}\times \frac{8}{27}$$

Multiply \frac{57}{8} times \frac{8}{27} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{57\times 8}{8\times 27}$$

Cancel out 8 in both numerator and denominator.

$$x=\frac{57}{27}$$

Reduce the fraction \frac{57}{27} to lowest terms by extracting and canceling out 3.

$$x=\frac{19}{9}$$