Solve x/10-x-6/5-x-8/15=0

$$\frac { x } { 10 } - \frac { x - 6 } { 5 } - \frac { x - 8 } { 15 } = 0$$

Solve for x

$$x = \frac{52}{5} = 10\frac{2}{5} = 10.4$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 30, the least common multiple of 10,5,15.

$$3x-6\left(x-6\right)-2\left(x-8\right)=0$$

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

$$3x-6x+36-2\left(x-8\right)=0$$

Combine 3x and -6x to get -3x.

$$-3x+36-2\left(x-8\right)=0$$

Use the distributive property to multiply -2 by x-8.

$$-3x+36-2x+16=0$$

Combine -3x and -2x to get -5x.

$$-5x+36+16=0$$

Add 36 and 16 to get 52.

$$-5x+52=0$$

Subtract 52 from both sides. Anything subtracted from zero gives its negation.

$$-5x=-52$$

Divide both sides by -5.

$$x=\frac{-52}{-5}$$

Fraction \frac{-52}{-5} can be simplified to \frac{52}{5} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{52}{5}$$