Solve 27/32-x=7/12

$$2 \frac{ 7 }{ 32 } -x = \frac{ 7 }{ 12 }$$

Solve for x

$$x = \frac{157}{96} = 1\frac{61}{96} \approx 1.635416667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 96, the least common multiple of 32,12.

$$3\left(2\times 32+7\right)-96x=56$$

Multiply 2 and 32 to get 64.

$$3\left(64+7\right)-96x=56$$

Add 64 and 7 to get 71.

$$3\times 71-96x=56$$

Multiply 3 and 71 to get 213.

$$213-96x=56$$

Subtract 213 from both sides.

$$-96x=56-213$$

Subtract 213 from 56 to get -157.

$$-96x=-157$$

Divide both sides by -96.

$$x=\frac{-157}{-96}$$

Fraction \frac{-157}{-96} can be simplified to \frac{157}{96} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{157}{96}$$