2z+5=5z-8

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Solution for 2z+5=5z-8 equation:


Simplifying
2z + 5 = 5z + -8

Reorder the terms:
5 + 2z = 5z + -8

Reorder the terms:
5 + 2z = -8 + 5z

Solving
5 + 2z = -8 + 5z

Solving for variable 'z'.

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

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

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

Combine like terms: 5z + -5z = 0
5 + -3z = -8 + 0
5 + -3z = -8

Add '-5' to each side of the equation.
5 + -5 + -3z = -8 + -5

Combine like terms: 5 + -5 = 0
0 + -3z = -8 + -5
-3z = -8 + -5

Combine like terms: -8 + -5 = -13
-3z = -13

Divide each side by '-3'.
z = 4.333333333

Simplifying
z = 4.333333333

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