Solve 3x-7/8-x-3/6=1

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

Solve for x

$$x = \frac{33}{5} = 6\frac{3}{5} = 6.6$$

Steps for Solving Linear Equation

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

$$3\left(3x-7\right)-4\left(x-3\right)=24$$

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

$$9x-21-4\left(x-3\right)=24$$

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

$$9x-21-4x+12=24$$

Combine 9x and -4x to get 5x.

$$5x-21+12=24$$

Add -21 and 12 to get -9.

$$5x-9=24$$

Add 9 to both sides.

$$5x=24+9$$

Add 24 and 9 to get 33.

$$5x=33$$

Divide both sides by 5.

$$x=\frac{33}{5}$$