0.3(3z+7)+12.9=0.5(3z-6)

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Solution for 0.3(3z+7)+12.9=0.5(3z-6) equation:


Simplifying
0.3(3z + 7) + 12.9 = 0.5(3z + -6)

Reorder the terms:
0.3(7 + 3z) + 12.9 = 0.5(3z + -6)
(7 * 0.3 + 3z * 0.3) + 12.9 = 0.5(3z + -6)
(2.1 + 0.9z) + 12.9 = 0.5(3z + -6)

Reorder the terms:
2.1 + 12.9 + 0.9z = 0.5(3z + -6)

Combine like terms: 2.1 + 12.9 = 15
15 + 0.9z = 0.5(3z + -6)

Reorder the terms:
15 + 0.9z = 0.5(-6 + 3z)
15 + 0.9z = (-6 * 0.5 + 3z * 0.5)
15 + 0.9z = (-3 + 1.5z)

Solving
15 + 0.9z = -3 + 1.5z

Solving for variable 'z'.

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

Add '-1.5z' to each side of the equation.
15 + 0.9z + -1.5z = -3 + 1.5z + -1.5z

Combine like terms: 0.9z + -1.5z = -0.6z
15 + -0.6z = -3 + 1.5z + -1.5z

Combine like terms: 1.5z + -1.5z = 0.0
15 + -0.6z = -3 + 0.0
15 + -0.6z = -3

Add '-15' to each side of the equation.
15 + -15 + -0.6z = -3 + -15

Combine like terms: 15 + -15 = 0
0 + -0.6z = -3 + -15
-0.6z = -3 + -15

Combine like terms: -3 + -15 = -18
-0.6z = -18

Divide each side by '-0.6'.
z = 30

Simplifying
z = 30

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