Solve 81-x/19=68+x/32

$$\frac { 81 - x } { 19 } = \frac { 68 + x } { 32 }$$

Solve for x

$$x = \frac{1300}{51} = 25\frac{25}{51} \approx 25.490196078$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 608, the least common multiple of 19,32.

$$32\left(81-x\right)=19\left(68+x\right)$$

Use the distributive property to multiply 32 by 81-x.

$$2592-32x=19\left(68+x\right)$$

Use the distributive property to multiply 19 by 68+x.

$$2592-32x=1292+19x$$

Subtract 19x from both sides.

$$2592-32x-19x=1292$$

Combine -32x and -19x to get -51x.

$$2592-51x=1292$$

Subtract 2592 from both sides.

$$-51x=1292-2592$$

Subtract 2592 from 1292 to get -1300.

$$-51x=-1300$$

Divide both sides by -51.

$$x=\frac{-1300}{-51}$$

Fraction \frac{-1300}{-51} can be simplified to \frac{1300}{51} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{1300}{51}$$