Solve 5x-7/8-3x+1/6=5/12

$$\frac{ 5x-7 }{ 8 } - \frac{ 3x+1 }{ 6 } = \frac{ 5 }{ 12 }$$

Solve for x

$$x = \frac{35}{3} = 11\frac{2}{3} \approx 11.666666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 24, the least common multiple of 8,6,12.

$$3\left(5x-7\right)-4\left(3x+1\right)=10$$

Use the distributive property to multiply 3 by 5x-7.

$$15x-21-4\left(3x+1\right)=10$$

Use the distributive property to multiply -4 by 3x+1.

$$15x-21-12x-4=10$$

Combine 15x and -12x to get 3x.

$$3x-21-4=10$$

Subtract 4 from -21 to get -25.

$$3x-25=10$$

Add 25 to both sides.

$$3x=10+25$$

Add 10 and 25 to get 35.

$$3x=35$$

Divide both sides by 3.

$$x=\frac{35}{3}$$