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

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

Solve for x

$$x = -\frac{101}{4} = -25\frac{1}{4} = -25.25$$

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.

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

Multiply 4 and 2 to get 8.

$$8\left(13+2x\right)=3\left(4x+1\right)$$

Use the distributive property to multiply 8 by 13+2x.

$$104+16x=3\left(4x+1\right)$$

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

$$104+16x=12x+3$$

Subtract 12x from both sides.

$$104+16x-12x=3$$

Combine 16x and -12x to get 4x.

$$104+4x=3$$

Subtract 104 from both sides.

$$4x=3-104$$

Subtract 104 from 3 to get -101.

$$4x=-101$$

Divide both sides by 4.

$$x=\frac{-101}{4}$$

Fraction \frac{-101}{4} can be rewritten as -\frac{101}{4} by extracting the negative sign.

$$x=-\frac{101}{4}$$