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}.

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

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

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

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

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

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

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

Add 100 and 97 to get 197.

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

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

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

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

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

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

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

Subtract 197 from 190 to get -7.

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

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

$$x=-\frac{7}{2}\left(-2\right)$$

Express -\frac{7}{2}\left(-2\right) as a single fraction.

$$x=\frac{-7\left(-2\right)}{2}$$

Multiply -7 and -2 to get 14.

$$x=\frac{14}{2}$$

Divide 14 by 2 to get 7.

$$x=7$$