-3(2z-5)=2(3z+5)

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


Simplifying
-3(2z + -5) = 2(3z + 5)

Reorder the terms:
-3(-5 + 2z) = 2(3z + 5)
(-5 * -3 + 2z * -3) = 2(3z + 5)
(15 + -6z) = 2(3z + 5)

Reorder the terms:
15 + -6z = 2(5 + 3z)
15 + -6z = (5 * 2 + 3z * 2)
15 + -6z = (10 + 6z)

Solving
15 + -6z = 10 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
15 + -6z + -6z = 10 + 6z + -6z

Combine like terms: -6z + -6z = -12z
15 + -12z = 10 + 6z + -6z

Combine like terms: 6z + -6z = 0
15 + -12z = 10 + 0
15 + -12z = 10

Add '-15' to each side of the equation.
15 + -15 + -12z = 10 + -15

Combine like terms: 15 + -15 = 0
0 + -12z = 10 + -15
-12z = 10 + -15

Combine like terms: 10 + -15 = -5
-12z = -5

Divide each side by '-12'.
z = 0.4166666667

Simplifying
z = 0.4166666667

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