z-10=5z+10

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Solution for z-10=5z+10 equation:


Simplifying
z + -10 = 5z + 10

Reorder the terms:
-10 + z = 5z + 10

Reorder the terms:
-10 + z = 10 + 5z

Solving
-10 + z = 10 + 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.
-10 + z + -5z = 10 + 5z + -5z

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

Combine like terms: 5z + -5z = 0
-10 + -4z = 10 + 0
-10 + -4z = 10

Add '10' to each side of the equation.
-10 + 10 + -4z = 10 + 10

Combine like terms: -10 + 10 = 0
0 + -4z = 10 + 10
-4z = 10 + 10

Combine like terms: 10 + 10 = 20
-4z = 20

Divide each side by '-4'.
z = -5

Simplifying
z = -5

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