Solve x/7-2=x/3-5

$$\frac { x } { 7 } - 2 = \frac { x } { 3 } - 5$$

Solve for x

$$x = \frac{63}{4} = 15\frac{3}{4} = 15.75$$

Steps for Solving Linear Equation

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

$$3x-42=7x-105$$

Subtract 7x from both sides.

$$3x-42-7x=-105$$

Combine 3x and -7x to get -4x.

$$-4x-42=-105$$

Add 42 to both sides.

$$-4x=-105+42$$

Add -105 and 42 to get -63.

$$-4x=-63$$

Divide both sides by -4.

$$x=\frac{-63}{-4}$$

Fraction \frac{-63}{-4} can be simplified to \frac{63}{4} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{63}{4}$$