2z+5=5z-7

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Solution for 2z+5=5z-7 equation:


Simplifying
2z + 5 = 5z + -7

Reorder the terms:
5 + 2z = 5z + -7

Reorder the terms:
5 + 2z = -7 + 5z

Solving
5 + 2z = -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 + 2z + -5z = -7 + 5z + -5z

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

Combine like terms: 5z + -5z = 0
5 + -3z = -7 + 0
5 + -3z = -7

Add '-5' to each side of the equation.
5 + -5 + -3z = -7 + -5

Combine like terms: 5 + -5 = 0
0 + -3z = -7 + -5
-3z = -7 + -5

Combine like terms: -7 + -5 = -12
-3z = -12

Divide each side by '-3'.
z = 4

Simplifying
z = 4

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