4z+5=5z+10

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Solution for 4z+5=5z+10 equation:


Simplifying
4z + 5 = 5z + 10

Reorder the terms:
5 + 4z = 5z + 10

Reorder the terms:
5 + 4z = 10 + 5z

Solving
5 + 4z = 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.
5 + 4z + -5z = 10 + 5z + -5z

Combine like terms: 4z + -5z = -1z
5 + -1z = 10 + 5z + -5z

Combine like terms: 5z + -5z = 0
5 + -1z = 10 + 0
5 + -1z = 10

Add '-5' to each side of the equation.
5 + -5 + -1z = 10 + -5

Combine like terms: 5 + -5 = 0
0 + -1z = 10 + -5
-1z = 10 + -5

Combine like terms: 10 + -5 = 5
-1z = 5

Divide each side by '-1'.
z = -5

Simplifying
z = -5

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