5z-2=(3z-4)

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Solution for 5z-2=(3z-4) equation:


Simplifying
5z + -2 = (3z + -4)

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

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

Remove parenthesis around (-4 + 3z)
-2 + 5z = -4 + 3z

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

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
-2 + 5z + -3z = -4 + 3z + -3z

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

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

Divide each side by '2'.
z = -1

Simplifying
z = -1

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