Solve (-14)*(2x+1)=-2

$$( - 14 ) \cdot ( 2 x + 1 ) = - 2$$

Solve for x

$$x=-\frac{3}{7}\approx -0.428571429$$

Steps for Solving Linear Equation

Divide both sides by -14.

$$2x+1=\frac{-2}{-14}$$

Reduce the fraction \frac{-2}{-14} to lowest terms by extracting and canceling out -2.

$$2x+1=\frac{1}{7}$$

Subtract 1 from both sides.

$$2x=\frac{1}{7}-1$$

Convert 1 to fraction \frac{7}{7}.

$$2x=\frac{1}{7}-\frac{7}{7}$$

Since \frac{1}{7} and \frac{7}{7} have the same denominator, subtract them by subtracting their numerators.

$$2x=\frac{1-7}{7}$$

Subtract 7 from 1 to get -6.

$$2x=-\frac{6}{7}$$

Divide both sides by 2.

$$x=\frac{-\frac{6}{7}}{2}$$

Express \frac{-\frac{6}{7}}{2} as a single fraction.

$$x=\frac{-6}{7\times 2}$$

Multiply 7 and 2 to get 14.

$$x=\frac{-6}{14}$$

Reduce the fraction \frac{-6}{14} to lowest terms by extracting and canceling out 2.

$$x=-\frac{3}{7}$$