4z-5=8z+5

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Solution for 4z-5=8z+5 equation:


Simplifying
4z + -5 = 8z + 5

Reorder the terms:
-5 + 4z = 8z + 5

Reorder the terms:
-5 + 4z = 5 + 8z

Solving
-5 + 4z = 5 + 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.
-5 + 4z + -8z = 5 + 8z + -8z

Combine like terms: 4z + -8z = -4z
-5 + -4z = 5 + 8z + -8z

Combine like terms: 8z + -8z = 0
-5 + -4z = 5 + 0
-5 + -4z = 5

Add '5' to each side of the equation.
-5 + 5 + -4z = 5 + 5

Combine like terms: -5 + 5 = 0
0 + -4z = 5 + 5
-4z = 5 + 5

Combine like terms: 5 + 5 = 10
-4z = 10

Divide each side by '-4'.
z = -2.5

Simplifying
z = -2.5

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