3z-2=5z+4

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Solution for 3z-2=5z+4 equation:


Simplifying
3z + -2 = 5z + 4

Reorder the terms:
-2 + 3z = 5z + 4

Reorder the terms:
-2 + 3z = 4 + 5z

Solving
-2 + 3z = 4 + 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.
-2 + 3z + -5z = 4 + 5z + -5z

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

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

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

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

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

Divide each side by '-2'.
z = -3

Simplifying
z = -3

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