Solve 11x-(x+1)*0.85=17

$$11 x - ( x + 1 ) \times 0.85 = 17$$

Solve for x

$$x = \frac{51}{29} = 1\frac{22}{29} \approx 1.75862069$$

Steps for Solving Linear Equation

Use the distributive property to multiply x+1 by 0.85.

$$11x-\left(0.85x+0.85\right)=17$$

To find the opposite of 0.85x+0.85, find the opposite of each term.

$$11x-0.85x-0.85=17$$

Combine 11x and -0.85x to get 10.15x.

$$10.15x-0.85=17$$

Add 0.85 to both sides.

$$10.15x=17+0.85$$

Add 17 and 0.85 to get 17.85.

$$10.15x=17.85$$

Divide both sides by 10.15.

$$x=\frac{17.85}{10.15}$$

Expand \frac{17.85}{10.15} by multiplying both numerator and the denominator by 100.

$$x=\frac{1785}{1015}$$

Reduce the fraction \frac{1785}{1015} to lowest terms by extracting and canceling out 35.

$$x=\frac{51}{29}$$