.3(2z+7)+.9=.6(2z-5)

Solution for .3(2z+7)+.9=.6(2z-5) equation:

Simplifying
0.3(2z + 7) + 0.9 = 0.6(2z + -5)

Reorder the terms:
0.3(7 + 2z) + 0.9 = 0.6(2z + -5)
(7 * 0.3 + 2z * 0.3) + 0.9 = 0.6(2z + -5)
(2.1 + 0.6z) + 0.9 = 0.6(2z + -5)

Reorder the terms:
2.1 + 0.9 + 0.6z = 0.6(2z + -5)

Combine like terms: 2.1 + 0.9 = 3
3 + 0.6z = 0.6(2z + -5)

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

Solving
3 + 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.
3 + 0.6z + -1.2z = -3 + 1.2z + -1.2z

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

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

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

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

Combine like terms: -3 + -3 = -6
-0.6z = -6

Divide each side by '-0.6'.
z = 10

Simplifying
z = 10