0.3(3z+7)+5.7=0.7(3z-6)

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Solution for 0.3(3z+7)+5.7=0.7(3z-6) equation: 


Simplifying
0.3(3z + 7) + 5.7 = 0.7(3z + -6)

Reorder the terms:
0.3(7 + 3z) + 5.7 = 0.7(3z + -6)
(7 * 0.3 + 3z * 0.3) + 5.7 = 0.7(3z + -6)
(2.1 + 0.9z) + 5.7 = 0.7(3z + -6)

Reorder the terms:
2.1 + 5.7 + 0.9z = 0.7(3z + -6)

Combine like terms: 2.1 + 5.7 = 7.8
7.8 + 0.9z = 0.7(3z + -6)

Reorder the terms:
7.8 + 0.9z = 0.7(-6 + 3z)
7.8 + 0.9z = (-6 * 0.7 + 3z * 0.7)
7.8 + 0.9z = (-4.2 + 2.1z)

Solving
7.8 + 0.9z = -4.2 + 2.1z

Solving for variable 'z'.

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

Add '-2.1z' to each side of the equation.
7.8 + 0.9z + -2.1z = -4.2 + 2.1z + -2.1z

Combine like terms: 0.9z + -2.1z = -1.2z
7.8 + -1.2z = -4.2 + 2.1z + -2.1z

Combine like terms: 2.1z + -2.1z = 0.0
7.8 + -1.2z = -4.2 + 0.0
7.8 + -1.2z = -4.2

Add '-7.8' to each side of the equation.
7.8 + -7.8 + -1.2z = -4.2 + -7.8

Combine like terms: 7.8 + -7.8 = 0.0
0.0 + -1.2z = -4.2 + -7.8
-1.2z = -4.2 + -7.8

Combine like terms: -4.2 + -7.8 = -12
-1.2z = -12

Divide each side by '-1.2'.
z = 10

Simplifying
z = 10

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