3z-5=z+8

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Solution for 3z-5=z+8 equation:


Simplifying
3z + -5 = z + 8

Reorder the terms:
-5 + 3z = z + 8

Reorder the terms:
-5 + 3z = 8 + z

Solving
-5 + 3z = 8 + 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.
-5 + 3z + -1z = 8 + z + -1z

Combine like terms: 3z + -1z = 2z
-5 + 2z = 8 + z + -1z

Combine like terms: z + -1z = 0
-5 + 2z = 8 + 0
-5 + 2z = 8

Add '5' to each side of the equation.
-5 + 5 + 2z = 8 + 5

Combine like terms: -5 + 5 = 0
0 + 2z = 8 + 5
2z = 8 + 5

Combine like terms: 8 + 5 = 13
2z = 13

Divide each side by '2'.
z = 6.5

Simplifying
z = 6.5

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