Solve 13x-1/4=x-2/3

$$\frac { 13 x - 1 } { 4 } = \frac { x - 2 } { 3 }$$

Solve for x

$$x=-\frac{1}{7}\approx -0.142857143$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,3.

$$3\left(13x-1\right)=4\left(x-2\right)$$

Use the distributive property to multiply 3 by 13x-1.

$$39x-3=4\left(x-2\right)$$

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

$$39x-3=4x-8$$

Subtract 4x from both sides.

$$39x-3-4x=-8$$

Combine 39x and -4x to get 35x.

$$35x-3=-8$$

Add 3 to both sides.

$$35x=-8+3$$

Add -8 and 3 to get -5.

$$35x=-5$$

Divide both sides by 35.

$$x=\frac{-5}{35}$$

Reduce the fraction \frac{-5}{35} to lowest terms by extracting and canceling out 5.

$$x=-\frac{1}{7}$$