Solve 1-x/4+5x+1/2=3-2left(x+1right)/8

$$\frac{ 1-x }{ 4 } + \frac{ 5x+1 }{ 2 } = 3- \frac{ 2 \left( x+1 \right) }{ 8 }$$

Solve for x

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

Steps for Solving Linear Equation

Multiply both sides of the equation by 8, the least common multiple of 4,2,8.

$$2\left(1-x\right)+4\left(5x+1\right)=24-2\left(x+1\right)$$

Use the distributive property to multiply 2 by 1-x.

$$2-2x+4\left(5x+1\right)=24-2\left(x+1\right)$$

Use the distributive property to multiply 4 by 5x+1.

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

Combine -2x and 20x to get 18x.

$$2+18x+4=24-2\left(x+1\right)$$

Add 2 and 4 to get 6.

$$6+18x=24-2\left(x+1\right)$$

Use the distributive property to multiply -2 by x+1.

$$6+18x=24-2x-2$$

Subtract 2 from 24 to get 22.

$$6+18x=22-2x$$

Add 2x to both sides.

$$6+18x+2x=22$$

Combine 18x and 2x to get 20x.

$$6+20x=22$$

Subtract 6 from both sides.

$$20x=22-6$$

Subtract 6 from 22 to get 16.

$$20x=16$$

Divide both sides by 20.

$$x=\frac{16}{20}$$

Reduce the fraction \frac{16}{20} to lowest terms by extracting and canceling out 4.

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