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

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

Solve for x

$$x=-\frac{6}{7}\approx -0.857142857$$

Steps for Solving Linear Equation

Variable x cannot be equal to -\frac{3}{5} since division by zero is not defined. Multiply both sides of the equation by 5x+3.

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

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

$$x-4=15x+9-1$$

Subtract 1 from 9 to get 8.

$$x-4=15x+8$$

Subtract 15x from both sides.

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

Combine x and -15x to get -14x.

$$-14x-4=8$$

Add 4 to both sides.

$$-14x=8+4$$

Add 8 and 4 to get 12.

$$-14x=12$$

Divide both sides by -14.

$$x=\frac{12}{-14}$$

Reduce the fraction \frac{12}{-14} to lowest terms by extracting and canceling out 2.

$$x=-\frac{6}{7}$$