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

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


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

Reorder the terms:
5(-3 + 2z) = 9(z + 2)
(-3 * 5 + 2z * 5) = 9(z + 2)
(-15 + 10z) = 9(z + 2)

Reorder the terms:
-15 + 10z = 9(2 + z)
-15 + 10z = (2 * 9 + z * 9)
-15 + 10z = (18 + 9z)

Solving
-15 + 10z = 18 + 9z

Solving for variable 'z'.

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

Add '-9z' to each side of the equation.
-15 + 10z + -9z = 18 + 9z + -9z

Combine like terms: 10z + -9z = 1z
-15 + 1z = 18 + 9z + -9z

Combine like terms: 9z + -9z = 0
-15 + 1z = 18 + 0
-15 + 1z = 18

Add '15' to each side of the equation.
-15 + 15 + 1z = 18 + 15

Combine like terms: -15 + 15 = 0
0 + 1z = 18 + 15
1z = 18 + 15

Combine like terms: 18 + 15 = 33
1z = 33

Divide each side by '1'.
z = 33

Simplifying
z = 33

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