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

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


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

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

Solving
5 + 2.5z = 12.5 + 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.
5 + 2.5z + -5z = 12.5 + 5z + -5z

Combine like terms: 2.5z + -5z = -2.5z
5 + -2.5z = 12.5 + 5z + -5z

Combine like terms: 5z + -5z = 0
5 + -2.5z = 12.5 + 0
5 + -2.5z = 12.5

Add '-5' to each side of the equation.
5 + -5 + -2.5z = 12.5 + -5

Combine like terms: 5 + -5 = 0
0 + -2.5z = 12.5 + -5
-2.5z = 12.5 + -5

Combine like terms: 12.5 + -5 = 7.5
-2.5z = 7.5

Divide each side by '-2.5'.
z = -3

Simplifying
z = -3

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