Solve 50+(97+x)1/2=95

$$50+(97+x) \frac{ 1 }{ 2 } =95$$

Solve for x

$$x=-7$$

Steps for Solving Linear Equation

Use the distributive property to multiply 97+x by \frac{1}{2}.

$$50+97\times \frac{1}{2}+x\times \frac{1}{2}=95$$

Multiply 97 and \frac{1}{2} to get \frac{97}{2}.

$$50+\frac{97}{2}+x\times \frac{1}{2}=95$$

Convert 50 to fraction \frac{100}{2}.

$$\frac{100}{2}+\frac{97}{2}+x\times \frac{1}{2}=95$$

Since \frac{100}{2} and \frac{97}{2} have the same denominator, add them by adding their numerators.

$$\frac{100+97}{2}+x\times \frac{1}{2}=95$$

Add 100 and 97 to get 197.

$$\frac{197}{2}+x\times \frac{1}{2}=95$$

Subtract \frac{197}{2} from both sides.

$$x\times \frac{1}{2}=95-\frac{197}{2}$$

Convert 95 to fraction \frac{190}{2}.

$$x\times \frac{1}{2}=\frac{190}{2}-\frac{197}{2}$$

Since \frac{190}{2} and \frac{197}{2} have the same denominator, subtract them by subtracting their numerators.

$$x\times \frac{1}{2}=\frac{190-197}{2}$$

Subtract 197 from 190 to get -7.

$$x\times \frac{1}{2}=-\frac{7}{2}$$

Multiply both sides by 2, the reciprocal of \frac{1}{2}.

$$x=-\frac{7}{2}\times 2$$

Cancel out 2 and 2.

$$x=-7$$