Solve 2-3x/1+5x=-4/11

$$\frac{ 2-3x }{ 1+5x } = \frac{ -4 }{ 11 }$$

Solve for x

$$x=2$$

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 11\left(5x+1\right), the least common multiple of 1+5x,11.

$$11\left(2-3x\right)=\left(5x+1\right)\left(-4\right)$$

Use the distributive property to multiply 11 by 2-3x.

$$22-33x=\left(5x+1\right)\left(-4\right)$$

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

$$22-33x=-20x-4$$

Add 20x to both sides.

$$22-33x+20x=-4$$

Combine -33x and 20x to get -13x.

$$22-13x=-4$$

Subtract 22 from both sides.

$$-13x=-4-22$$

Subtract 22 from -4 to get -26.

$$-13x=-26$$

Divide both sides by -13.

$$x=\frac{-26}{-13}$$

Divide -26 by -13 to get 2.

$$x=2$$