Solve 8=-frac{3sqrt{7}}{2}div1/2+x

$$8 = - \frac { 3 \sqrt { 7 } } { 2 } \div \frac { 1 } { 2 } + x$$

Solve for x

$$x=3\sqrt{7}+8\approx 15.937253933$$

Steps for Solving Linear Equation

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

$$\frac{-\frac{3\sqrt{7}}{2}}{\frac{1}{2}}+x=8$$

Subtract \frac{-\frac{3\sqrt{7}}{2}}{\frac{1}{2}} from both sides.

$$x=8-\frac{-\frac{3\sqrt{7}}{2}}{\frac{1}{2}}$$

Reorder the terms.

$$x=-\left(-\frac{\frac{3\sqrt{7}}{2}}{\frac{1}{2}}\right)+8$$

Multiply -1 and -1 to get 1.

$$x=\frac{\frac{3\sqrt{7}}{2}}{\frac{1}{2}}+8$$

Reorder the terms.

$$x=\frac{3\sqrt{7}}{\frac{1}{2}\times 2}+8$$

Cancel out 2 and 2.

$$x=\frac{3\sqrt{7}}{1}+8$$

Anything divided by one gives itself.

$$x=3\sqrt{7}+8$$