Solve 7/8x=1/4x+15/32

$$\frac { 7 } { 8 } x = \frac { 1 } { 4 } x + \frac { 15 } { 32 }$$

Solve for x

$$x=\frac{3}{4}=0.75$$

Steps for Solving Linear Equation

Subtract \frac{1}{4}x from both sides.

$$\frac{7}{8}x-\frac{1}{4}x=\frac{15}{32}$$

Combine \frac{7}{8}x and -\frac{1}{4}x to get \frac{5}{8}x.

$$\frac{5}{8}x=\frac{15}{32}$$

Multiply both sides by \frac{8}{5}, the reciprocal of \frac{5}{8}.

$$x=\frac{15}{32}\times \frac{8}{5}$$

Multiply \frac{15}{32} times \frac{8}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{15\times 8}{32\times 5}$$

Do the multiplications in the fraction \frac{15\times 8}{32\times 5}.

$$x=\frac{120}{160}$$

Reduce the fraction \frac{120}{160} to lowest terms by extracting and canceling out 40.

$$x=\frac{3}{4}$$