Solve 17%-2=5-(x-1)

$$17 \% - 2 = 5 - ( x - 1 )$$

Solve for x

$$x = \frac{783}{100} = 7\frac{83}{100} = 7.83$$

Steps for Solving Linear Equation

Convert 2 to fraction \frac{200}{100}.

$$\frac{17}{100}-\frac{200}{100}=5-\left(x-1\right)$$

Since \frac{17}{100} and \frac{200}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{17-200}{100}=5-\left(x-1\right)$$

Subtract 200 from 17 to get -183.

$$-\frac{183}{100}=5-\left(x-1\right)$$

To find the opposite of x-1, find the opposite of each term.

$$-\frac{183}{100}=5-x-\left(-1\right)$$

The opposite of -1 is 1.

$$-\frac{183}{100}=5-x+1$$

Add 5 and 1 to get 6.

$$-\frac{183}{100}=6-x$$

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

$$6-x=-\frac{183}{100}$$

Subtract 6 from both sides.

$$-x=-\frac{183}{100}-6$$

Convert 6 to fraction \frac{600}{100}.

$$-x=-\frac{183}{100}-\frac{600}{100}$$

Since -\frac{183}{100} and \frac{600}{100} have the same denominator, subtract them by subtracting their numerators.

$$-x=\frac{-183-600}{100}$$

Subtract 600 from -183 to get -783.

$$-x=-\frac{783}{100}$$

Multiply both sides by -1.

$$x=\frac{783}{100}$$