3z+5=5z+7

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Solution for 3z+5=5z+7 equation:


Simplifying
3z + 5 = 5z + 7

Reorder the terms:
5 + 3z = 5z + 7

Reorder the terms:
5 + 3z = 7 + 5z

Solving
5 + 3z = 7 + 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 = 7 + 5z + -5z

Combine like terms: 3z + -5z = -2z
5 + -2z = 7 + 5z + -5z

Combine like terms: 5z + -5z = 0
5 + -2z = 7 + 0
5 + -2z = 7

Add '-5' to each side of the equation.
5 + -5 + -2z = 7 + -5

Combine like terms: 5 + -5 = 0
0 + -2z = 7 + -5
-2z = 7 + -5

Combine like terms: 7 + -5 = 2
-2z = 2

Divide each side by '-2'.
z = -1

Simplifying
z = -1

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