Solve 3x-7/12=2x-3/6-x-1/8

$$\frac{ 3x-7 }{ 12 } = \frac{ 2x-3 }{ 6 } - \frac{ x-1 }{ 8 }$$

Solve for x

$$x=5$$

Steps for Solving Linear Equation

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

$$2\left(3x-7\right)=4\left(2x-3\right)-3\left(x-1\right)$$

Use the distributive property to multiply 2 by 3x-7.

$$6x-14=4\left(2x-3\right)-3\left(x-1\right)$$

Use the distributive property to multiply 4 by 2x-3.

$$6x-14=8x-12-3\left(x-1\right)$$

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

$$6x-14=8x-12-3x+3$$

Combine 8x and -3x to get 5x.

$$6x-14=5x-12+3$$

Add -12 and 3 to get -9.

$$6x-14=5x-9$$

Subtract 5x from both sides.

$$6x-14-5x=-9$$

Combine 6x and -5x to get x.

$$x-14=-9$$

Add 14 to both sides.

$$x=-9+14$$

Add -9 and 14 to get 5.

$$x=5$$