.3(2z+6)+7.2=.6(2z-5)

Solution for .3(2z+6)+7.2=.6(2z-5) equation:

Simplifying
0.3(2z + 6) + 7.2 = 0.6(2z + -5)

Reorder the terms:
0.3(6 + 2z) + 7.2 = 0.6(2z + -5)
(6 * 0.3 + 2z * 0.3) + 7.2 = 0.6(2z + -5)
(1.8 + 0.6z) + 7.2 = 0.6(2z + -5)

Reorder the terms:
1.8 + 7.2 + 0.6z = 0.6(2z + -5)

Combine like terms: 1.8 + 7.2 = 9
9 + 0.6z = 0.6(2z + -5)

Reorder the terms:
9 + 0.6z = 0.6(-5 + 2z)
9 + 0.6z = (-5 * 0.6 + 2z * 0.6)
9 + 0.6z = (-3 + 1.2z)

Solving
9 + 0.6z = -3 + 1.2z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-1.2z' to each side of the equation.
9 + 0.6z + -1.2z = -3 + 1.2z + -1.2z

Combine like terms: 0.6z + -1.2z = -0.6z
9 + -0.6z = -3 + 1.2z + -1.2z

Combine like terms: 1.2z + -1.2z = 0.0
9 + -0.6z = -3 + 0.0
9 + -0.6z = -3

Add '-9' to each side of the equation.
9 + -9 + -0.6z = -3 + -9

Combine like terms: 9 + -9 = 0
0 + -0.6z = -3 + -9
-0.6z = -3 + -9

Combine like terms: -3 + -9 = -12
-0.6z = -12

Divide each side by '-0.6'.
z = 20

Simplifying
z = 20