Solve (13+2x)/(4x+1)=3/4

$$( 13 + 2 x ) / ( 4 x + 1 ) = 3 / 4$$

Solve for x

$$x = \frac{49}{4} = 12\frac{1}{4} = 12.25$$

Steps for Solving Linear Equation

Variable x cannot be equal to -\frac{1}{4} since division by zero is not defined. Multiply both sides of the equation by 4\left(4x+1\right), the least common multiple of 4x+1,4.

$$4\left(13+2x\right)=3\left(4x+1\right)$$

Use the distributive property to multiply 4 by 13+2x.

$$52+8x=3\left(4x+1\right)$$

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

$$52+8x=12x+3$$

Subtract 12x from both sides.

$$52+8x-12x=3$$

Combine 8x and -12x to get -4x.

$$52-4x=3$$

Subtract 52 from both sides.

$$-4x=3-52$$

Subtract 52 from 3 to get -49.

$$-4x=-49$$

Divide both sides by -4.

$$x=\frac{-49}{-4}$$

Fraction \frac{-49}{-4} can be simplified to \frac{49}{4} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{49}{4}$$