Solve 3/2-6-4=48x

$$\frac{ 3 }{ 2 } -6-4=48x$$

Solve for x

$$x=-\frac{17}{96}\approx -0.177083333$$

Steps for Solving Linear Equation

Convert 6 to fraction \frac{12}{2}.

$$\frac{3}{2}-\frac{12}{2}-4=48x$$

Since \frac{3}{2} and \frac{12}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-12}{2}-4=48x$$

Subtract 12 from 3 to get -9.

$$-\frac{9}{2}-4=48x$$

Convert 4 to fraction \frac{8}{2}.

$$-\frac{9}{2}-\frac{8}{2}=48x$$

Since -\frac{9}{2} and \frac{8}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-9-8}{2}=48x$$

Subtract 8 from -9 to get -17.

$$-\frac{17}{2}=48x$$

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

$$48x=-\frac{17}{2}$$

Divide both sides by 48.

$$x=\frac{-\frac{17}{2}}{48}$$

Express \frac{-\frac{17}{2}}{48} as a single fraction.

$$x=\frac{-17}{2\times 48}$$

Multiply 2 and 48 to get 96.

$$x=\frac{-17}{96}$$

Fraction \frac{-17}{96} can be rewritten as -\frac{17}{96} by extracting the negative sign.

$$x=-\frac{17}{96}$$