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

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


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

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

Reorder the terms:
-15 + 10z = 6(5 + z)
-15 + 10z = (5 * 6 + z * 6)
-15 + 10z = (30 + 6z)

Solving
-15 + 10z = 30 + 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 + 10z + -6z = 30 + 6z + -6z

Combine like terms: 10z + -6z = 4z
-15 + 4z = 30 + 6z + -6z

Combine like terms: 6z + -6z = 0
-15 + 4z = 30 + 0
-15 + 4z = 30

Add '15' to each side of the equation.
-15 + 15 + 4z = 30 + 15

Combine like terms: -15 + 15 = 0
0 + 4z = 30 + 15
4z = 30 + 15

Combine like terms: 30 + 15 = 45
4z = 45

Divide each side by '4'.
z = 11.25

Simplifying
z = 11.25

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