Solve x-3/5+7=7x-1/3

$$\frac{ x-3 }{ 5 } +7= \frac{ 7x-1 }{ 3 }$$

Solve for x

$$x = \frac{101}{32} = 3\frac{5}{32} = 3.15625$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15, the least common multiple of 5,3.

$$3\left(x-3\right)+105=5\left(7x-1\right)$$

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

$$3x-9+105=5\left(7x-1\right)$$

Add -9 and 105 to get 96.

$$3x+96=5\left(7x-1\right)$$

Use the distributive property to multiply 5 by 7x-1.

$$3x+96=35x-5$$

Subtract 35x from both sides.

$$3x+96-35x=-5$$

Combine 3x and -35x to get -32x.

$$-32x+96=-5$$

Subtract 96 from both sides.

$$-32x=-5-96$$

Subtract 96 from -5 to get -101.

$$-32x=-101$$

Divide both sides by -32.

$$x=\frac{-101}{-32}$$

Fraction \frac{-101}{-32} can be simplified to \frac{101}{32} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{101}{32}$$