Solve (+4)=-0.6(4x-1)

$$( + 4 ) = - 0.6 ( 4 x - 1 )$$

Solve for x

$$x = -\frac{17}{12} = -1\frac{5}{12} \approx -1.416666667$$

Steps for Solving Linear Equation

Divide both sides by -0.6.

$$\frac{4}{-0.6}=4x-1$$

Expand \frac{4}{-0.6} by multiplying both numerator and the denominator by 10.

$$\frac{40}{-6}=4x-1$$

Reduce the fraction \frac{40}{-6} to lowest terms by extracting and canceling out 2.

$$-\frac{20}{3}=4x-1$$

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

$$4x-1=-\frac{20}{3}$$

Add 1 to both sides.

$$4x=-\frac{20}{3}+1$$

Convert 1 to fraction \frac{3}{3}.

$$4x=-\frac{20}{3}+\frac{3}{3}$$

Since -\frac{20}{3} and \frac{3}{3} have the same denominator, add them by adding their numerators.

$$4x=\frac{-20+3}{3}$$

Add -20 and 3 to get -17.

$$4x=-\frac{17}{3}$$

Divide both sides by 4.

$$x=\frac{-\frac{17}{3}}{4}$$

Express \frac{-\frac{17}{3}}{4} as a single fraction.

$$x=\frac{-17}{3\times 4}$$

Multiply 3 and 4 to get 12.

$$x=\frac{-17}{12}$$

Fraction \frac{-17}{12} can be rewritten as -\frac{17}{12} by extracting the negative sign.

$$x=-\frac{17}{12}$$