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

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

Solve for x

$$x=5$$

Steps for Solving Linear Equation

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

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

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

$$8x-12-3\left(x-1\right)=2\left(3x-7\right)$$

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

$$8x-12-3x+3=2\left(3x-7\right)$$

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

$$5x-12+3=2\left(3x-7\right)$$

Add -12 and 3 to get -9.

$$5x-9=2\left(3x-7\right)$$

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

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

Subtract 6x from both sides.

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

Combine 5x and -6x to get -x.

$$-x-9=-14$$

Add 9 to both sides.

$$-x=-14+9$$

Add -14 and 9 to get -5.

$$-x=-5$$

Multiply both sides by -1.

$$x=5$$