Solve 2(Z+10)=4(Z-15)

$$2 ( Z + 10 ) = 4 ( Z - 15 )$$

Solve for Z

$$Z=40$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by Z+10.

$$2Z+20=4\left(Z-15\right)$$

Use the distributive property to multiply 4 by Z-15.

$$2Z+20=4Z-60$$

Subtract 4Z from both sides.

$$2Z+20-4Z=-60$$

Combine 2Z and -4Z to get -2Z.

$$-2Z+20=-60$$

Subtract 20 from both sides.

$$-2Z=-60-20$$

Subtract 20 from -60 to get -80.

$$-2Z=-80$$

Divide both sides by -2.

$$Z=\frac{-80}{-2}$$

Divide -80 by -2 to get 40.

$$Z=40$$