Solve 2-9-10z+3-8z=z-9+3z+10-10z

$$2 - 9 - 10 z + 3 - 8 z = z - 9 + 3 z + 10 - 10 z$$

Solve for z

$$z=-\frac{5}{12}\approx -0.416666667$$

Steps for Solving Linear Equation

Subtract 9 from 2 to get -7.

$$-7-10z+3-8z=z-9+3z+10-10z$$

Add -7 and 3 to get -4.

$$-4-10z-8z=z-9+3z+10-10z$$

Combine -10z and -8z to get -18z.

$$-4-18z=z-9+3z+10-10z$$

Combine z and 3z to get 4z.

$$-4-18z=4z-9+10-10z$$

Add -9 and 10 to get 1.

$$-4-18z=4z+1-10z$$

Combine 4z and -10z to get -6z.

$$-4-18z=-6z+1$$

Add 6z to both sides.

$$-4-18z+6z=1$$

Combine -18z and 6z to get -12z.

$$-4-12z=1$$

Add 4 to both sides.

$$-12z=1+4$$

Add 1 and 4 to get 5.

$$-12z=5$$

Divide both sides by -12.

$$z=\frac{5}{-12}$$

Fraction \frac{5}{-12} can be rewritten as -\frac{5}{12} by extracting the negative sign.

$$z=-\frac{5}{12}$$