2z+5=3z-1

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Solution for 2z+5=3z-1 equation:


Simplifying
2z + 5 = 3z + -1

Reorder the terms:
5 + 2z = 3z + -1

Reorder the terms:
5 + 2z = -1 + 3z

Solving
5 + 2z = -1 + 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.
5 + 2z + -3z = -1 + 3z + -3z

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

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

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

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

Combine like terms: -1 + -5 = -6
-1z = -6

Divide each side by '-1'.
z = 6

Simplifying
z = 6

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