2z+5=z-3

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


Simplifying
2z + 5 = z + -3

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

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

Solving
5 + 2z = -3 + z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
5 + 2z + -1z = -3 + z + -1z

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

Combine like terms: z + -1z = 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 = -8
1z = -8

Divide each side by '1'.
z = -8

Simplifying
z = -8

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