z-3=2z-5

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


Simplifying
z + -3 = 2z + -5

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

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

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

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

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

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

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

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

Divide each side by '-1'.
z = 2

Simplifying
z = 2

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