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

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


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

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

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

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

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

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

Combine like terms: 4z + -5z = -1z
2 + -1z = -3 + 5z + -5z

Combine like terms: 5z + -5z = 0
2 + -1z = -3 + 0
2 + -1z = -3

Add '-2' to each side of the equation.
2 + -2 + -1z = -3 + -2

Combine like terms: 2 + -2 = 0
0 + -1z = -3 + -2
-1z = -3 + -2

Combine like terms: -3 + -2 = -5
-1z = -5

Divide each side by '-1'.
z = 5

Simplifying
z = 5

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