0.3(2z+7)+0.3=0.6(2z-6)

Solution for 0.3(2z+7)+0.3=0.6(2z-6) equation:

Simplifying
0.3(2z + 7) + 0.3 = 0.6(2z + -6)

Reorder the terms:
0.3(7 + 2z) + 0.3 = 0.6(2z + -6)
(7 * 0.3 + 2z * 0.3) + 0.3 = 0.6(2z + -6)
(2.1 + 0.6z) + 0.3 = 0.6(2z + -6)

Reorder the terms:
2.1 + 0.3 + 0.6z = 0.6(2z + -6)

Combine like terms: 2.1 + 0.3 = 2.4
2.4 + 0.6z = 0.6(2z + -6)

Reorder the terms:
2.4 + 0.6z = 0.6(-6 + 2z)
2.4 + 0.6z = (-6 * 0.6 + 2z * 0.6)
2.4 + 0.6z = (-3.6 + 1.2z)

Solving
2.4 + 0.6z = -3.6 + 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.
2.4 + 0.6z + -1.2z = -3.6 + 1.2z + -1.2z

Combine like terms: 0.6z + -1.2z = -0.6z
2.4 + -0.6z = -3.6 + 1.2z + -1.2z

Combine like terms: 1.2z + -1.2z = 0.0
2.4 + -0.6z = -3.6 + 0.0
2.4 + -0.6z = -3.6

Add '-2.4' to each side of the equation.
2.4 + -2.4 + -0.6z = -3.6 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + -0.6z = -3.6 + -2.4
-0.6z = -3.6 + -2.4

Combine like terms: -3.6 + -2.4 = -6
-0.6z = -6

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

Simplifying
z = 10