Solve -8.4=4(x+6.3)

$$- 8.4 = 4 ( x + 6.3 )$$

Solve for x

$$x=-8.4$$

Steps for Solving Linear Equation

Divide both sides by 4.

$$\frac{-8.4}{4}=x+6.3$$

Expand \frac{-8.4}{4} by multiplying both numerator and the denominator by 10.

$$\frac{-84}{40}=x+6.3$$

Reduce the fraction \frac{-84}{40} to lowest terms by extracting and canceling out 4.

$$-\frac{21}{10}=x+6.3$$

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

$$x+6.3=-\frac{21}{10}$$

Subtract 6.3 from both sides.

$$x=-\frac{21}{10}-6.3$$

Convert decimal number 6.3 to fraction \frac{63}{10}.

$$x=-\frac{21}{10}-\frac{63}{10}$$

Since -\frac{21}{10} and \frac{63}{10} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{-21-63}{10}$$

Subtract 63 from -21 to get -84.

$$x=\frac{-84}{10}$$

Reduce the fraction \frac{-84}{10} to lowest terms by extracting and canceling out 2.

$$x=-\frac{42}{5}$$