Solve 7sqrt{2}-x+1/18=sqrt{18}

$$7 \sqrt { 2 } - \frac { x + 1 } { 18 } = \sqrt { 18 }$$

Solve for x

$$x=72\sqrt{2}-1\approx 100.823376491$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 18.

$$126\sqrt{2}-\left(x+1\right)=18\sqrt{18}$$

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

$$126\sqrt{2}-x-1=18\sqrt{18}$$

Factor 18=3^{2}\times 2. Rewrite the square root of the product \sqrt{3^{2}\times 2} as the product of square roots \sqrt{3^{2}}\sqrt{2}. Take the square root of 3^{2}.

$$126\sqrt{2}-x-1=18\times 3\sqrt{2}$$

Multiply 18 and 3 to get 54.

$$126\sqrt{2}-x-1=54\sqrt{2}$$

Subtract 126\sqrt{2} from both sides.

$$-x-1=54\sqrt{2}-126\sqrt{2}$$

Combine 54\sqrt{2} and -126\sqrt{2} to get -72\sqrt{2}.

$$-x-1=-72\sqrt{2}$$

Add 1 to both sides.

$$-x=-72\sqrt{2}+1$$

The equation is in standard form.

$$-x=1-72\sqrt{2}$$

Divide both sides by -1.

$$\frac{-x}{-1}=\frac{1-72\sqrt{2}}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$x=\frac{1-72\sqrt{2}}{-1}$$

Divide -72\sqrt{2}+1 by -1.

$$x=72\sqrt{2}-1$$