Solve -4/(2-7x)=3

$$\frac { - 4 } { ( 2 - 7 x ) } = 3$$

Solve for x

$$x=\frac{10}{21}\approx 0.476190476$$

Steps for Solving Linear Equation

Variable x cannot be equal to \frac{2}{7} since division by zero is not defined. Multiply both sides of the equation by -7x+2.

$$-4=3\left(-7x+2\right)$$

Use the distributive property to multiply 3 by -7x+2.

$$-4=-21x+6$$

Swap sides so that all variable terms are on the left hand side.

$$-21x+6=-4$$

Subtract 6 from both sides.

$$-21x=-4-6$$

Subtract 6 from -4 to get -10.

$$-21x=-10$$

Divide both sides by -21.

$$x=\frac{-10}{-21}$$

Fraction \frac{-10}{-21} can be simplified to \frac{10}{21} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{10}{21}$$