Solve 6-x/16-16x/6=40

$$\frac { 6 - x } { 16 } - \frac { 16 x } { 6 } = 40$$

Solve for x

$$x = -\frac{1902}{131} = -14\frac{68}{131} \approx -14.519083969$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 48, the least common multiple of 16,6.

$$3\left(6-x\right)-8\times 16x=1920$$

Use the distributive property to multiply 3 by 6-x.

$$18-3x-8\times 16x=1920$$

Multiply -8 and 16 to get -128.

$$18-3x-128x=1920$$

Combine -3x and -128x to get -131x.

$$18-131x=1920$$

Subtract 18 from both sides.

$$-131x=1920-18$$

Subtract 18 from 1920 to get 1902.

$$-131x=1902$$

Divide both sides by -131.

$$x=\frac{1902}{-131}$$

Fraction \frac{1902}{-131} can be rewritten as -\frac{1902}{131} by extracting the negative sign.

$$x=-\frac{1902}{131}$$