5z-53=2z+80

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Solution for 5z-53=2z+80 equation:


Simplifying
5z + -53 = 2z + 80

Reorder the terms:
-53 + 5z = 2z + 80

Reorder the terms:
-53 + 5z = 80 + 2z

Solving
-53 + 5z = 80 + 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.
-53 + 5z + -2z = 80 + 2z + -2z

Combine like terms: 5z + -2z = 3z
-53 + 3z = 80 + 2z + -2z

Combine like terms: 2z + -2z = 0
-53 + 3z = 80 + 0
-53 + 3z = 80

Add '53' to each side of the equation.
-53 + 53 + 3z = 80 + 53

Combine like terms: -53 + 53 = 0
0 + 3z = 80 + 53
3z = 80 + 53

Combine like terms: 80 + 53 = 133
3z = 133

Divide each side by '3'.
z = 44.33333333

Simplifying
z = 44.33333333

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