4z-5=z+10

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


Simplifying
4z + -5 = z + 10

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

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

Solving
-5 + 4z = 10 + 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.
-5 + 4z + -1z = 10 + z + -1z

Combine like terms: 4z + -1z = 3z
-5 + 3z = 10 + z + -1z

Combine like terms: z + -1z = 0
-5 + 3z = 10 + 0
-5 + 3z = 10

Add '5' to each side of the equation.
-5 + 5 + 3z = 10 + 5

Combine like terms: -5 + 5 = 0
0 + 3z = 10 + 5
3z = 10 + 5

Combine like terms: 10 + 5 = 15
3z = 15

Divide each side by '3'.
z = 5

Simplifying
z = 5

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