2.5(2z+5)=5(5z+2.5)

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Solution for 2.5(2z+5)=5(5z+2.5) equation: 


Simplifying
2.5(2z + 5) = 5(5z + 2.5)

Reorder the terms:
2.5(5 + 2z) = 5(5z + 2.5)
(5 * 2.5 + 2z * 2.5) = 5(5z + 2.5)
(12.5 + 5z) = 5(5z + 2.5)

Reorder the terms:
12.5 + 5z = 5(2.5 + 5z)
12.5 + 5z = (2.5 * 5 + 5z * 5)
12.5 + 5z = (12.5 + 25z)

Add '-12.5' to each side of the equation.
12.5 + -12.5 + 5z = 12.5 + -12.5 + 25z

Combine like terms: 12.5 + -12.5 = 0.0
0.0 + 5z = 12.5 + -12.5 + 25z
5z = 12.5 + -12.5 + 25z

Combine like terms: 12.5 + -12.5 = 0.0
5z = 0.0 + 25z
5z = 25z

Solving
5z = 25z

Solving for variable 'z'.

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

Add '-25z' to each side of the equation.
5z + -25z = 25z + -25z

Combine like terms: 5z + -25z = -20z
-20z = 25z + -25z

Combine like terms: 25z + -25z = 0
-20z = 0

Divide each side by '-20'.
z = 0.0

Simplifying
z = 0.0

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