5z-2=2z-5

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


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

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

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

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

Solving for variable 'z'.

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

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

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

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

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

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

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

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

Simplifying
z = -1

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