3z+5=2z+3

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


Simplifying
3z + 5 = 2z + 3

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

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

Solving
5 + 3z = 3 + 2z

Solving for variable 'z'.

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

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

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

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

Add '-5' to each side of the equation.
5 + -5 + 1z = 3 + -5

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

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

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

Simplifying
z = -2

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