5z-2=z-3

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


Simplifying
5z + -2 = z + -3

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

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

Solving
-2 + 5z = -3 + z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
-2 + 5z + -1z = -3 + z + -1z

Combine like terms: 5z + -1z = 4z
-2 + 4z = -3 + z + -1z

Combine like terms: z + -1z = 0
-2 + 4z = -3 + 0
-2 + 4z = -3

Add '2' to each side of the equation.
-2 + 2 + 4z = -3 + 2

Combine like terms: -2 + 2 = 0
0 + 4z = -3 + 2
4z = -3 + 2

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

Divide each side by '4'.
z = -0.25

Simplifying
z = -0.25

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