5z+2=7z-8

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Solution for 5z+2=7z-8 equation:


Simplifying
5z + 2 = 7z + -8

Reorder the terms:
2 + 5z = 7z + -8

Reorder the terms:
2 + 5z = -8 + 7z

Solving
2 + 5z = -8 + 7z

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
2 + 5z + -7z = -8 + 7z + -7z

Combine like terms: 5z + -7z = -2z
2 + -2z = -8 + 7z + -7z

Combine like terms: 7z + -7z = 0
2 + -2z = -8 + 0
2 + -2z = -8

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

Combine like terms: 2 + -2 = 0
0 + -2z = -8 + -2
-2z = -8 + -2

Combine like terms: -8 + -2 = -10
-2z = -10

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

Simplifying
z = 5

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