Solve 1/4x=2x+5

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

Solve for x

$$x = -\frac{20}{7} = -2\frac{6}{7} \approx -2.857142857$$

Steps for Solving Linear Equation

Subtract 2x from both sides.

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

Combine \frac{1}{4}x and -2x to get -\frac{7}{4}x.

$$-\frac{7}{4}x=5$$

Multiply both sides by -\frac{4}{7}, the reciprocal of -\frac{7}{4}.

$$x=5\left(-\frac{4}{7}\right)$$

Express 5\left(-\frac{4}{7}\right) as a single fraction.

$$x=\frac{5\left(-4\right)}{7}$$

Multiply 5 and -4 to get -20.

$$x=\frac{-20}{7}$$

Fraction \frac{-20}{7} can be rewritten as -\frac{20}{7} by extracting the negative sign.

$$x=-\frac{20}{7}$$