(z+10)+4z=(z+10)

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Solution for (z+10)+4z=(z+10) equation:


Simplifying
(z + 10) + 4z = (z + 10)

Reorder the terms:
(10 + z) + 4z = (z + 10)

Remove parenthesis around (10 + z)
10 + z + 4z = (z + 10)

Combine like terms: z + 4z = 5z
10 + 5z = (z + 10)

Reorder the terms:
10 + 5z = (10 + z)

Remove parenthesis around (10 + z)
10 + 5z = 10 + z

Add '-10' to each side of the equation.
10 + -10 + 5z = 10 + -10 + z

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

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

Solving
5z = z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
5z + -1z = z + -1z

Combine like terms: 5z + -1z = 4z
4z = z + -1z

Combine like terms: z + -1z = 0
4z = 0

Divide each side by '4'.
z = 0

Simplifying
z = 0

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