Solve x-5/4=2x-1/3

$$\frac{ x-5 }{ 4 } = \frac{ 2x-1 }{ 3 }$$

Solve for x

$$x = -\frac{11}{5} = -2\frac{1}{5} = -2.2$$

Steps for Solving Linear Equation

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

$$3\left(x-5\right)=4\left(2x-1\right)$$

Use the distributive property to multiply 3 by x-5.

$$3x-15=4\left(2x-1\right)$$

Use the distributive property to multiply 4 by 2x-1.

$$3x-15=8x-4$$

Subtract 8x from both sides.

$$3x-15-8x=-4$$

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

$$-5x-15=-4$$

Add 15 to both sides.

$$-5x=-4+15$$

Add -4 and 15 to get 11.

$$-5x=11$$

Divide both sides by -5.

$$x=\frac{11}{-5}$$

Fraction \frac{11}{-5} can be rewritten as -\frac{11}{5} by extracting the negative sign.

$$x=-\frac{11}{5}$$