5z+2=z-3

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


Simplifying
5z + 2 = z + -3

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

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

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

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

Combine like terms: z + -1z = 0
2 + 4z = -3 + 0
2 + 4z = -3

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

Combine like terms: 2 + -2 = 0
0 + 4z = -3 + -2
4z = -3 + -2

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

Divide each side by '4'.
z = -1.25

Simplifying
z = -1.25

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