5z-12.8=4z+0.5

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Solution for 5z-12.8=4z+0.5 equation:


Simplifying
5z + -12.8 = 4z + 0.5

Reorder the terms:
-12.8 + 5z = 4z + 0.5

Reorder the terms:
-12.8 + 5z = 0.5 + 4z

Solving
-12.8 + 5z = 0.5 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
-12.8 + 5z + -4z = 0.5 + 4z + -4z

Combine like terms: 5z + -4z = 1z
-12.8 + 1z = 0.5 + 4z + -4z

Combine like terms: 4z + -4z = 0
-12.8 + 1z = 0.5 + 0
-12.8 + 1z = 0.5

Add '12.8' to each side of the equation.
-12.8 + 12.8 + 1z = 0.5 + 12.8

Combine like terms: -12.8 + 12.8 = 0.0
0.0 + 1z = 0.5 + 12.8
1z = 0.5 + 12.8

Combine like terms: 0.5 + 12.8 = 13.3
1z = 13.3

Divide each side by '1'.
z = 13.3

Simplifying
z = 13.3

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