5z+8=8z-7

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


Simplifying
5z + 8 = 8z + -7

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

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

Solving
8 + 5z = -7 + 8z

Solving for variable 'z'.

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

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

Combine like terms: 5z + -8z = -3z
8 + -3z = -7 + 8z + -8z

Combine like terms: 8z + -8z = 0
8 + -3z = -7 + 0
8 + -3z = -7

Add '-8' to each side of the equation.
8 + -8 + -3z = -7 + -8

Combine like terms: 8 + -8 = 0
0 + -3z = -7 + -8
-3z = -7 + -8

Combine like terms: -7 + -8 = -15
-3z = -15

Divide each side by '-3'.
z = 5

Simplifying
z = 5

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