Solve 5x+3/8-x-1/12=1

$$\frac{ 5x+3 }{ 8 } - \frac{ x-1 }{ 12 } =1$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 24, the least common multiple of 8,12.

$$3\left(5x+3\right)-2\left(x-1\right)=24$$

Use the distributive property to multiply 3 by 5x+3.

$$15x+9-2\left(x-1\right)=24$$

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

$$15x+9-2x+2=24$$

Combine 15x and -2x to get 13x.

$$13x+9+2=24$$

Add 9 and 2 to get 11.

$$13x+11=24$$

Subtract 11 from both sides.

$$13x=24-11$$

Subtract 11 from 24 to get 13.

$$13x=13$$

Divide both sides by 13.

$$x=\frac{13}{13}$$

Divide 13 by 13 to get 1.

$$x=1$$