2z-5=3z-2

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Solution for 2z-5=3z-2 equation:


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

Reorder the terms:
-5 + 2z = 3z + -2

Reorder the terms:
-5 + 2z = -2 + 3z

Solving
-5 + 2z = -2 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
-5 + 2z + -3z = -2 + 3z + -3z

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

Combine like terms: 3z + -3z = 0
-5 + -1z = -2 + 0
-5 + -1z = -2

Add '5' to each side of the equation.
-5 + 5 + -1z = -2 + 5

Combine like terms: -5 + 5 = 0
0 + -1z = -2 + 5
-1z = -2 + 5

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

Divide each side by '-1'.
z = -3

Simplifying
z = -3

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