Solve -0.5(x-4.2)=6.4

$$- 0.5 ( x - 4.2 ) = 6.4$$

Solve for x

$$x=-8.6$$

Steps for Solving Linear Equation

Divide both sides by -0.5.

$$x-4.2=\frac{6.4}{-0.5}$$

Expand \frac{6.4}{-0.5} by multiplying both numerator and the denominator by 10.

$$x-4.2=\frac{64}{-5}$$

Fraction \frac{64}{-5} can be rewritten as -\frac{64}{5} by extracting the negative sign.

$$x-4.2=-\frac{64}{5}$$

Add 4.2 to both sides.

$$x=-\frac{64}{5}+4.2$$

Convert decimal number 4.2 to fraction \frac{42}{10}. Reduce the fraction \frac{42}{10} to lowest terms by extracting and canceling out 2.

$$x=-\frac{64}{5}+\frac{21}{5}$$

Since -\frac{64}{5} and \frac{21}{5} have the same denominator, add them by adding their numerators.

$$x=\frac{-64+21}{5}$$

Add -64 and 21 to get -43.

$$x=-\frac{43}{5}$$