Solve 1/2x+8=9x-15

$$\frac{ 1 }{ 2 } x+8=9x-15$$

Solve for x

$$x = \frac{46}{17} = 2\frac{12}{17} \approx 2.705882353$$

Steps for Solving Linear Equation

Subtract 9x from both sides.

$$\frac{1}{2}x+8-9x=-15$$

Combine \frac{1}{2}x and -9x to get -\frac{17}{2}x.

$$-\frac{17}{2}x+8=-15$$

Subtract 8 from both sides.

$$-\frac{17}{2}x=-15-8$$

Subtract 8 from -15 to get -23.

$$-\frac{17}{2}x=-23$$

Multiply both sides by -\frac{2}{17}, the reciprocal of -\frac{17}{2}.

$$x=-23\left(-\frac{2}{17}\right)$$

Express -23\left(-\frac{2}{17}\right) as a single fraction.

$$x=\frac{-23\left(-2\right)}{17}$$

Multiply -23 and -2 to get 46.

$$x=\frac{46}{17}$$