Solve 21/2+x+101/4+x+x=603/4

$$\frac { 21 } { 2 } + x + 10 \frac { 1 } { 4 } + x + x = 60 \frac { 3 } { 4 }$$

Solve for x

$$x = \frac{40}{3} = 13\frac{1}{3} \approx 13.333333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4, the least common multiple of 2,4.

$$42+4x+10\times 4+1+4x+4x=60\times 4+3$$

Multiply 10 and 4 to get 40.

$$42+4x+40+1+4x+4x=60\times 4+3$$

Add 42 and 40 to get 82.

$$82+4x+1+4x+4x=60\times 4+3$$

Add 82 and 1 to get 83.

$$83+4x+4x+4x=60\times 4+3$$

Combine 4x and 4x to get 8x.

$$83+8x+4x=60\times 4+3$$

Combine 8x and 4x to get 12x.

$$83+12x=60\times 4+3$$

Multiply 60 and 4 to get 240.

$$83+12x=240+3$$

Add 240 and 3 to get 243.

$$83+12x=243$$

Subtract 83 from both sides.

$$12x=243-83$$

Subtract 83 from 243 to get 160.

$$12x=160$$

Divide both sides by 12.

$$x=\frac{160}{12}$$

Reduce the fraction \frac{160}{12} to lowest terms by extracting and canceling out 4.

$$x=\frac{40}{3}$$