3z+5=5z-3z

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


Simplifying
3z + 5 = 5z + -3z

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

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

Solving
5 + 3z = 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.
5 + 3z + -2z = 2z + -2z

Combine like terms: 3z + -2z = 1z
5 + 1z = 2z + -2z

Combine like terms: 2z + -2z = 0
5 + 1z = 0

Add '-5' to each side of the equation.
5 + -5 + 1z = 0 + -5

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

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

Divide each side by '1'.
z = -5

Simplifying
z = -5

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