Solve 52/5-x-35/12=11/6

$$5 \frac{ 2 }{ 5 } -x-3 \frac{ 5 }{ 12 } = 1 \frac{ 1 }{ 6 }$$

Solve for x

$$x=\frac{49}{60}\approx 0.816666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 60, the least common multiple of 5,12,6.

$$12\left(5\times 5+2\right)-60x-5\left(3\times 12+5\right)=10\left(1\times 6+1\right)$$

Multiply 5 and 5 to get 25.

$$12\left(25+2\right)-60x-5\left(3\times 12+5\right)=10\left(1\times 6+1\right)$$

Add 25 and 2 to get 27.

$$12\times 27-60x-5\left(3\times 12+5\right)=10\left(1\times 6+1\right)$$

Multiply 12 and 27 to get 324.

$$324-60x-5\left(3\times 12+5\right)=10\left(1\times 6+1\right)$$

Multiply 3 and 12 to get 36.

$$324-60x-5\left(36+5\right)=10\left(1\times 6+1\right)$$

Add 36 and 5 to get 41.

$$324-60x-5\times 41=10\left(1\times 6+1\right)$$

Multiply -5 and 41 to get -205.

$$324-60x-205=10\left(1\times 6+1\right)$$

Subtract 205 from 324 to get 119.

$$119-60x=10\left(1\times 6+1\right)$$

Multiply 1 and 6 to get 6.

$$119-60x=10\left(6+1\right)$$

Add 6 and 1 to get 7.

$$119-60x=10\times 7$$

Multiply 10 and 7 to get 70.

$$119-60x=70$$

Subtract 119 from both sides.

$$-60x=70-119$$

Subtract 119 from 70 to get -49.

$$-60x=-49$$

Divide both sides by -60.

$$x=\frac{-49}{-60}$$

Fraction \frac{-49}{-60} can be simplified to \frac{49}{60} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{49}{60}$$