Solve 5/4x+1/8x=5/8+x

$$\frac { 5 } { 4 } x + \frac { 1 } { 8 } x = \frac { 5 } { 8 } + x$$

Solve for x

$$x = \frac{5}{3} = 1\frac{2}{3} \approx 1.666666667$$

Steps for Solving Linear Equation

Combine \frac{5}{4}x and \frac{1}{8}x to get \frac{11}{8}x.

$$\frac{11}{8}x=\frac{5}{8}+x$$

Subtract x from both sides.

$$\frac{11}{8}x-x=\frac{5}{8}$$

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

$$\frac{3}{8}x=\frac{5}{8}$$

Multiply both sides by \frac{8}{3}, the reciprocal of \frac{3}{8}.

$$x=\frac{5}{8}\times \frac{8}{3}$$

Multiply \frac{5}{8} times \frac{8}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{5\times 8}{8\times 3}$$

Cancel out 8 in both numerator and denominator.

$$x=\frac{5}{3}$$