Solve x=-24-2x+2/96

$$x=- \frac{ 24-2x+2 }{ 96 }$$

Solve for x

$$x=-\frac{13}{47}\approx -0.276595745$$

Steps for Solving Linear Equation

Add 24 and 2 to get 26.

$$x=-\frac{26-2x}{96}$$

Divide each term of 26-2x by 96 to get \frac{13}{48}-\frac{1}{48}x.

$$x=-\left(\frac{13}{48}-\frac{1}{48}x\right)$$

To find the opposite of \frac{13}{48}-\frac{1}{48}x, find the opposite of each term.

$$x=-\frac{13}{48}-\left(-\frac{1}{48}x\right)$$

The opposite of -\frac{1}{48}x is \frac{1}{48}x.

$$x=-\frac{13}{48}+\frac{1}{48}x$$

Subtract \frac{1}{48}x from both sides.

$$x-\frac{1}{48}x=-\frac{13}{48}$$

Combine x and -\frac{1}{48}x to get \frac{47}{48}x.

$$\frac{47}{48}x=-\frac{13}{48}$$

Multiply both sides by \frac{48}{47}, the reciprocal of \frac{47}{48}.

$$x=-\frac{13}{48}\times \frac{48}{47}$$

Multiply -\frac{13}{48} times \frac{48}{47} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-13\times 48}{48\times 47}$$

Cancel out 48 in both numerator and denominator.

$$x=\frac{-13}{47}$$

Fraction \frac{-13}{47} can be rewritten as -\frac{13}{47} by extracting the negative sign.

$$x=-\frac{13}{47}$$