3z+5=5z-5

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


Simplifying
3z + 5 = 5z + -5

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

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

Solving
5 + 3z = -5 + 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 + 3z + -5z = -5 + 5z + -5z

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

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

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

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

Combine like terms: -5 + -5 = -10
-2z = -10

Divide each side by '-2'.
z = 5

Simplifying
z = 5

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