Solve -(z+12)=5left(2z-1right)

$$-(z+12) = 5 \left( 2z-1 \right)$$

Solve for z

$$z=-\frac{7}{11}\approx -0.636363636$$

Steps for Solving Linear Equation

To find the opposite of z+12, find the opposite of each term.

$$-z-12=5\left(2z-1\right)$$

Use the distributive property to multiply 5 by 2z-1.

$$-z-12=10z-5$$

Subtract 10z from both sides.

$$-z-12-10z=-5$$

Combine -z and -10z to get -11z.

$$-11z-12=-5$$

Add 12 to both sides.

$$-11z=-5+12$$

Add -5 and 12 to get 7.

$$-11z=7$$

Divide both sides by -11.

$$z=\frac{7}{-11}$$

Fraction \frac{7}{-11} can be rewritten as -\frac{7}{11} by extracting the negative sign.

$$z=-\frac{7}{11}$$