Solve x=11/8-3/8x+2

$$x = 1 \frac { 1 } { 8 } - \frac { 3 } { 8 } x + 2$$

Solve for x

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

Steps for Solving Linear Equation

Multiply 1 and 8 to get 8.

$$x=\frac{8+1}{8}-\frac{3}{8}x+2$$

Add 8 and 1 to get 9.

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

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

$$x=\frac{9}{8}-\frac{3}{8}x+\frac{16}{8}$$

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

$$x=\frac{9+16}{8}-\frac{3}{8}x$$

Add 9 and 16 to get 25.

$$x=\frac{25}{8}-\frac{3}{8}x$$

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

$$x+\frac{3}{8}x=\frac{25}{8}$$

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

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

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.

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