4z+5=6z+10

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Solution for 4z+5=6z+10 equation:


Simplifying
4z + 5 = 6z + 10

Reorder the terms:
5 + 4z = 6z + 10

Reorder the terms:
5 + 4z = 10 + 6z

Solving
5 + 4z = 10 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
5 + 4z + -6z = 10 + 6z + -6z

Combine like terms: 4z + -6z = -2z
5 + -2z = 10 + 6z + -6z

Combine like terms: 6z + -6z = 0
5 + -2z = 10 + 0
5 + -2z = 10

Add '-5' to each side of the equation.
5 + -5 + -2z = 10 + -5

Combine like terms: 5 + -5 = 0
0 + -2z = 10 + -5
-2z = 10 + -5

Combine like terms: 10 + -5 = 5
-2z = 5

Divide each side by '-2'.
z = -2.5

Simplifying
z = -2.5

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