3z-4=5z-23

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Solution for 3z-4=5z-23 equation:


Simplifying
3z + -4 = 5z + -23

Reorder the terms:
-4 + 3z = 5z + -23

Reorder the terms:
-4 + 3z = -23 + 5z

Solving
-4 + 3z = -23 + 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.
-4 + 3z + -5z = -23 + 5z + -5z

Combine like terms: 3z + -5z = -2z
-4 + -2z = -23 + 5z + -5z

Combine like terms: 5z + -5z = 0
-4 + -2z = -23 + 0
-4 + -2z = -23

Add '4' to each side of the equation.
-4 + 4 + -2z = -23 + 4

Combine like terms: -4 + 4 = 0
0 + -2z = -23 + 4
-2z = -23 + 4

Combine like terms: -23 + 4 = -19
-2z = -19

Divide each side by '-2'.
z = 9.5

Simplifying
z = 9.5

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