Solve 7x+3/5x-1=4

$$\frac { 7 x + 3 } { 5 x - 1 } = 4$$

Solve for x

$$x=\frac{7}{13}\approx 0.538461538$$

Steps for Solving Linear Equation

Variable x cannot be equal to \frac{1}{5} since division by zero is not defined. Multiply both sides of the equation by 5x-1.

$$7x+3=4\left(5x-1\right)$$

Use the distributive property to multiply 4 by 5x-1.

$$7x+3=20x-4$$

Subtract 20x from both sides.

$$7x+3-20x=-4$$

Combine 7x and -20x to get -13x.

$$-13x+3=-4$$

Subtract 3 from both sides.

$$-13x=-4-3$$

Subtract 3 from -4 to get -7.

$$-13x=-7$$

Divide both sides by -13.

$$x=\frac{-7}{-13}$$

Fraction \frac{-7}{-13} can be simplified to \frac{7}{13} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{7}{13}$$