5z-8=6z-5

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Solution for 5z-8=6z-5 equation:


Simplifying
5z + -8 = 6z + -5

Reorder the terms:
-8 + 5z = 6z + -5

Reorder the terms:
-8 + 5z = -5 + 6z

Solving
-8 + 5z = -5 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
-8 + 5z + -6z = -5 + 6z + -6z

Combine like terms: 5z + -6z = -1z
-8 + -1z = -5 + 6z + -6z

Combine like terms: 6z + -6z = 0
-8 + -1z = -5 + 0
-8 + -1z = -5

Add '8' to each side of the equation.
-8 + 8 + -1z = -5 + 8

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

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

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

Simplifying
z = -3

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