Solve x-2=3/8*(3-x)

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

Solve for x

$$x = \frac{25}{11} = 2\frac{3}{11} \approx 2.272727273$$

Steps for Solving Linear Equation

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

$$x-2=\frac{3}{8}\times 3+\frac{3}{8}\left(-1\right)x$$

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

$$x-2=\frac{3\times 3}{8}+\frac{3}{8}\left(-1\right)x$$

Multiply 3 and 3 to get 9.

$$x-2=\frac{9}{8}+\frac{3}{8}\left(-1\right)x$$

Multiply \frac{3}{8} and -1 to get -\frac{3}{8}.

$$x-2=\frac{9}{8}-\frac{3}{8}x$$

Add \frac{3}{8}x to both sides.

$$x-2+\frac{3}{8}x=\frac{9}{8}$$

Combine x and \frac{3}{8}x to get \frac{11}{8}x.

$$\frac{11}{8}x-2=\frac{9}{8}$$

Add 2 to both sides.

$$\frac{11}{8}x=\frac{9}{8}+2$$

Convert 2 to fraction \frac{16}{8}.

$$\frac{11}{8}x=\frac{9}{8}+\frac{16}{8}$$

Since \frac{9}{8} and \frac{16}{8} have the same denominator, add them by adding their numerators.

$$\frac{11}{8}x=\frac{9+16}{8}$$

Add 9 and 16 to get 25.

$$\frac{11}{8}x=\frac{25}{8}$$

Multiply both sides by \frac{8}{11}, the reciprocal of \frac{11}{8}.

$$x=\frac{25}{8}\times \frac{8}{11}$$

Multiply \frac{25}{8} times \frac{8}{11} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{25\times 8}{8\times 11}$$

Cancel out 8 in both numerator and denominator.

$$x=\frac{25}{11}$$