Solve x/5+(9-x)/4+(9-x)/6=341/60

$$\frac { x } { 5 } + \frac { ( 9 - x ) } { 4 } + \frac { ( 9 - x ) } { 6 } = 3 \frac { 41 } { 60 }$$

Solve for x

$$x=\frac{4}{13}\approx 0.307692308$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 60, the least common multiple of 5,4,6,60.

$$12x+15\left(9-x\right)+10\left(9-x\right)=3\times 60+41$$

Use the distributive property to multiply 15 by 9-x.

$$12x+135-15x+10\left(9-x\right)=3\times 60+41$$

Combine 12x and -15x to get -3x.

$$-3x+135+10\left(9-x\right)=3\times 60+41$$

Use the distributive property to multiply 10 by 9-x.

$$-3x+135+90-10x=3\times 60+41$$

Add 135 and 90 to get 225.

$$-3x+225-10x=3\times 60+41$$

Combine -3x and -10x to get -13x.

$$-13x+225=3\times 60+41$$

Multiply 3 and 60 to get 180.

$$-13x+225=180+41$$

Add 180 and 41 to get 221.

$$-13x+225=221$$

Subtract 225 from both sides.

$$-13x=221-225$$

Subtract 225 from 221 to get -4.

$$-13x=-4$$

Divide both sides by -13.

$$x=\frac{-4}{-13}$$

Fraction \frac{-4}{-13} can be simplified to \frac{4}{13} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{4}{13}$$