Solve 2x-7/3-1=x-4/6

$$\frac { 2 x - 7 } { 3 } - 1 = \frac { x - 4 } { 6 }$$

Solve for x

$$x = \frac{16}{3} = 5\frac{1}{3} \approx 5.333333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 3,6.

$$2\left(2x-7\right)-6=x-4$$

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

$$4x-14-6=x-4$$

Subtract 6 from -14 to get -20.

$$4x-20=x-4$$

Subtract x from both sides.

$$4x-20-x=-4$$

Combine 4x and -x to get 3x.

$$3x-20=-4$$

Add 20 to both sides.

$$3x=-4+20$$

Add -4 and 20 to get 16.

$$3x=16$$

Divide both sides by 3.

$$x=\frac{16}{3}$$