Solve 5+31/2x=6+21/4x

$$5+3 \frac{ 1 }{ 2 } x = 6+2 \frac{ 1 }{ 4 } x$$

Solve for x

$$x=\frac{4}{5}=0.8$$

Steps for Solving Linear Equation

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

$$20+2\left(3\times 2+1\right)x=24+\left(2\times 4+1\right)x$$

Multiply 3 and 2 to get 6.

$$20+2\left(6+1\right)x=24+\left(2\times 4+1\right)x$$

Add 6 and 1 to get 7.

$$20+2\times 7x=24+\left(2\times 4+1\right)x$$

Multiply 2 and 7 to get 14.

$$20+14x=24+\left(2\times 4+1\right)x$$

Multiply 2 and 4 to get 8.

$$20+14x=24+\left(8+1\right)x$$

Add 8 and 1 to get 9.

$$20+14x=24+9x$$

Subtract 9x from both sides.

$$20+14x-9x=24$$

Combine 14x and -9x to get 5x.

$$20+5x=24$$

Subtract 20 from both sides.

$$5x=24-20$$

Subtract 20 from 24 to get 4.

$$5x=4$$

Divide both sides by 5.

$$x=\frac{4}{5}$$