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

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


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

Reorder the terms:
2(2 + z) + -3(z + -3) = 2(z + -2) + 3(z + -3)
(2 * 2 + z * 2) + -3(z + -3) = 2(z + -2) + 3(z + -3)
(4 + 2z) + -3(z + -3) = 2(z + -2) + 3(z + -3)

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

Reorder the terms:
4 + 9 + 2z + -3z = 2(z + -2) + 3(z + -3)

Combine like terms: 4 + 9 = 13
13 + 2z + -3z = 2(z + -2) + 3(z + -3)

Combine like terms: 2z + -3z = -1z
13 + -1z = 2(z + -2) + 3(z + -3)

Reorder the terms:
13 + -1z = 2(-2 + z) + 3(z + -3)
13 + -1z = (-2 * 2 + z * 2) + 3(z + -3)
13 + -1z = (-4 + 2z) + 3(z + -3)

Reorder the terms:
13 + -1z = -4 + 2z + 3(-3 + z)
13 + -1z = -4 + 2z + (-3 * 3 + z * 3)
13 + -1z = -4 + 2z + (-9 + 3z)

Reorder the terms:
13 + -1z = -4 + -9 + 2z + 3z

Combine like terms: -4 + -9 = -13
13 + -1z = -13 + 2z + 3z

Combine like terms: 2z + 3z = 5z
13 + -1z = -13 + 5z

Solving
13 + -1z = -13 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
13 + -1z + -5z = -13 + 5z + -5z

Combine like terms: -1z + -5z = -6z
13 + -6z = -13 + 5z + -5z

Combine like terms: 5z + -5z = 0
13 + -6z = -13 + 0
13 + -6z = -13

Add '-13' to each side of the equation.
13 + -13 + -6z = -13 + -13

Combine like terms: 13 + -13 = 0
0 + -6z = -13 + -13
-6z = -13 + -13

Combine like terms: -13 + -13 = -26
-6z = -26

Divide each side by '-6'.
z = 4.333333333

Simplifying
z = 4.333333333

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