Solve 14=-2/7x+5

$$14 = - \frac{ 2 }{ 7 } x+5$$

Solve for x

$$x = -\frac{63}{2} = -31\frac{1}{2} = -31.5$$

Steps for Solving Linear Equation

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

$$-\frac{2}{7}x+5=14$$

Subtract 5 from both sides.

$$-\frac{2}{7}x=14-5$$

Subtract 5 from 14 to get 9.

$$-\frac{2}{7}x=9$$

Multiply both sides by -\frac{7}{2}, the reciprocal of -\frac{2}{7}.

$$x=9\left(-\frac{7}{2}\right)$$

Express 9\left(-\frac{7}{2}\right) as a single fraction.

$$x=\frac{9\left(-7\right)}{2}$$

Multiply 9 and -7 to get -63.

$$x=\frac{-63}{2}$$

Fraction \frac{-63}{2} can be rewritten as -\frac{63}{2} by extracting the negative sign.

$$x=-\frac{63}{2}$$