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

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

Solve for x

$$x=\frac{9}{10}=0.9$$

Steps for Solving Linear Equation

Variable x cannot be equal to \frac{1}{3} since division by zero is not defined. Multiply both sides of the equation by 3x-1.

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

Use the distributive property to multiply 4 by 3x-1.

$$2x+5=12x-4$$

Subtract 12x from both sides.

$$2x+5-12x=-4$$

Combine 2x and -12x to get -10x.

$$-10x+5=-4$$

Subtract 5 from both sides.

$$-10x=-4-5$$

Subtract 5 from -4 to get -9.

$$-10x=-9$$

Divide both sides by -10.

$$x=\frac{-9}{-10}$$

Fraction \frac{-9}{-10} can be simplified to \frac{9}{10} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{9}{10}$$