3(2z+4)=5(z-6)+9z+5

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Solution for 3(2z+4)=5(z-6)+9z+5 equation:


Simplifying
3(2z + 4) = 5(z + -6) + 9z + 5

Reorder the terms:
3(4 + 2z) = 5(z + -6) + 9z + 5
(4 * 3 + 2z * 3) = 5(z + -6) + 9z + 5
(12 + 6z) = 5(z + -6) + 9z + 5

Reorder the terms:
12 + 6z = 5(-6 + z) + 9z + 5
12 + 6z = (-6 * 5 + z * 5) + 9z + 5
12 + 6z = (-30 + 5z) + 9z + 5

Reorder the terms:
12 + 6z = -30 + 5 + 5z + 9z

Combine like terms: -30 + 5 = -25
12 + 6z = -25 + 5z + 9z

Combine like terms: 5z + 9z = 14z
12 + 6z = -25 + 14z

Solving
12 + 6z = -25 + 14z

Solving for variable 'z'.

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

Add '-14z' to each side of the equation.
12 + 6z + -14z = -25 + 14z + -14z

Combine like terms: 6z + -14z = -8z
12 + -8z = -25 + 14z + -14z

Combine like terms: 14z + -14z = 0
12 + -8z = -25 + 0
12 + -8z = -25

Add '-12' to each side of the equation.
12 + -12 + -8z = -25 + -12

Combine like terms: 12 + -12 = 0
0 + -8z = -25 + -12
-8z = -25 + -12

Combine like terms: -25 + -12 = -37
-8z = -37

Divide each side by '-8'.
z = 4.625

Simplifying
z = 4.625

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