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

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

Solve for x

$$x=5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 21, the least common multiple of 3,7.

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

Use the distributive property to multiply 7 by 2x-4.

$$14x-28=3\left(3x-1\right)$$

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

$$14x-28=9x-3$$

Subtract 9x from both sides.

$$14x-28-9x=-3$$

Combine 14x and -9x to get 5x.

$$5x-28=-3$$

Add 28 to both sides.

$$5x=-3+28$$

Add -3 and 28 to get 25.

$$5x=25$$

Divide both sides by 5.

$$x=\frac{25}{5}$$

Divide 25 by 5 to get 5.

$$x=5$$