Solve 5/6x+2.5+1/4x-0.25=12

$$\frac{ 5 }{ 6 } x+2.5+ \frac{ 1 }{ 4 } x-0.25 = 12$$

Solve for x

$$x=9$$

Steps for Solving Linear Equation

Combine \frac{5}{6}x and \frac{1}{4}x to get \frac{13}{12}x.

$$\frac{13}{12}x+2.5-0.25=12$$

Subtract 0.25 from 2.5 to get 2.25.

$$\frac{13}{12}x+2.25=12$$

Subtract 2.25 from both sides.

$$\frac{13}{12}x=12-2.25$$

Subtract 2.25 from 12 to get 9.75.

$$\frac{13}{12}x=9.75$$

Multiply both sides by \frac{12}{13}, the reciprocal of \frac{13}{12}.

$$x=9.75\times \frac{12}{13}$$

Convert decimal number 9.75 to fraction \frac{975}{100}. Reduce the fraction \frac{975}{100} to lowest terms by extracting and canceling out 25.

$$x=\frac{39}{4}\times \frac{12}{13}$$

Multiply \frac{39}{4} times \frac{12}{13} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{39\times 12}{4\times 13}$$

Do the multiplications in the fraction \frac{39\times 12}{4\times 13}.

$$x=\frac{468}{52}$$

Divide 468 by 52 to get 9.

$$x=9$$