4z-5=5z-2

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Solution for 4z-5=5z-2 equation:


Simplifying
4z + -5 = 5z + -2

Reorder the terms:
-5 + 4z = 5z + -2

Reorder the terms:
-5 + 4z = -2 + 5z

Solving
-5 + 4z = -2 + 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.
-5 + 4z + -5z = -2 + 5z + -5z

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

Combine like terms: 5z + -5z = 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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