Solve -4x=-6/74

$$- 4 x = - \frac { 6 } { 7 } 4$$

Solve for x

$$x=\frac{6}{7}\approx 0.857142857$$

Steps for Solving Linear Equation

Express -\frac{6}{7}\times 4 as a single fraction.

$$-4x=\frac{-6\times 4}{7}$$

Multiply -6 and 4 to get -24.

$$-4x=\frac{-24}{7}$$

Fraction \frac{-24}{7} can be rewritten as -\frac{24}{7} by extracting the negative sign.

$$-4x=-\frac{24}{7}$$

Divide both sides by -4.

$$x=\frac{-\frac{24}{7}}{-4}$$

Express \frac{-\frac{24}{7}}{-4} as a single fraction.

$$x=\frac{-24}{7\left(-4\right)}$$

Multiply 7 and -4 to get -28.

$$x=\frac{-24}{-28}$$

Reduce the fraction \frac{-24}{-28} to lowest terms by extracting and canceling out -4.

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