4(z+5)=(z-4)+z

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Solution for 4(z+5)=(z-4)+z equation:


Simplifying
4(z + 5) = (z + -4) + z

Reorder the terms:
4(5 + z) = (z + -4) + z
(5 * 4 + z * 4) = (z + -4) + z
(20 + 4z) = (z + -4) + z

Reorder the terms:
20 + 4z = (-4 + z) + z

Remove parenthesis around (-4 + z)
20 + 4z = -4 + z + z

Combine like terms: z + z = 2z
20 + 4z = -4 + 2z

Solving
20 + 4z = -4 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
20 + 4z + -2z = -4 + 2z + -2z

Combine like terms: 4z + -2z = 2z
20 + 2z = -4 + 2z + -2z

Combine like terms: 2z + -2z = 0
20 + 2z = -4 + 0
20 + 2z = -4

Add '-20' to each side of the equation.
20 + -20 + 2z = -4 + -20

Combine like terms: 20 + -20 = 0
0 + 2z = -4 + -20
2z = -4 + -20

Combine like terms: -4 + -20 = -24
2z = -24

Divide each side by '2'.
z = -12

Simplifying
z = -12

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