Solve 33(2007-x)=2008+x

$$33(2007-x)=2008+x$$

Solve for x

$$x = \frac{64223}{34} = 1888\frac{31}{34} \approx 1888.911764706$$

Steps for Solving Linear Equation

Use the distributive property to multiply 33 by 2007-x.

$$66231-33x=2008+x$$

Subtract x from both sides.

$$66231-33x-x=2008$$

Combine -33x and -x to get -34x.

$$66231-34x=2008$$

Subtract 66231 from both sides.

$$-34x=2008-66231$$

Subtract 66231 from 2008 to get -64223.

$$-34x=-64223$$

Divide both sides by -34.

$$x=\frac{-64223}{-34}$$

Fraction \frac{-64223}{-34} can be simplified to \frac{64223}{34} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{64223}{34}$$