Solve 1-x/5+2-x/3+11/3=0

$$\frac{ 1-x }{ 5 } + \frac{ 2-x }{ 3 } + 1 \frac { 1 } { 3 } =0$$

Solve for x

$$x = \frac{33}{8} = 4\frac{1}{8} = 4.125$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15, the least common multiple of 5,3.

$$3\left(1-x\right)+5\left(2-x\right)+5\left(1\times 3+1\right)=0$$

Use the distributive property to multiply 3 by 1-x.

$$3-3x+5\left(2-x\right)+5\left(1\times 3+1\right)=0$$

Use the distributive property to multiply 5 by 2-x.

$$3-3x+10-5x+5\left(1\times 3+1\right)=0$$

Add 3 and 10 to get 13.

$$13-3x-5x+5\left(1\times 3+1\right)=0$$

Combine -3x and -5x to get -8x.

$$13-8x+5\left(1\times 3+1\right)=0$$

Multiply 1 and 3 to get 3.

$$13-8x+5\left(3+1\right)=0$$

Add 3 and 1 to get 4.

$$13-8x+5\times 4=0$$

Multiply 5 and 4 to get 20.

$$13-8x+20=0$$

Add 13 and 20 to get 33.

$$33-8x=0$$

Subtract 33 from both sides. Anything subtracted from zero gives its negation.

$$-8x=-33$$

Divide both sides by -8.

$$x=\frac{-33}{-8}$$

Fraction \frac{-33}{-8} can be simplified to \frac{33}{8} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{33}{8}$$