Solve -2[z-(5-4z)]+4=-3z

$$- 2 [ z - ( 5 - 4 z ) ] + 4 = - 3 z$$

Solve for z

$$z=2$$

Steps for Solving Linear Equation

To find the opposite of 5-4z, find the opposite of each term.

$$-2\left(z-5-\left(-4z\right)\right)+4=-3z$$

The opposite of -4z is 4z.

$$-2\left(z-5+4z\right)+4=-3z$$

Combine z and 4z to get 5z.

$$-2\left(5z-5\right)+4=-3z$$

Use the distributive property to multiply -2 by 5z-5.

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

Add 10 and 4 to get 14.

$$-10z+14=-3z$$

Add 3z to both sides.

$$-10z+14+3z=0$$

Combine -10z and 3z to get -7z.

$$-7z+14=0$$

Subtract 14 from both sides. Anything subtracted from zero gives its negation.

$$-7z=-14$$

Divide both sides by -7.

$$z=\frac{-14}{-7}$$

Divide -14 by -7 to get 2.

$$z=2$$