5+2z-3=8z+8-5z

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Solution for 5+2z-3=8z+8-5z equation:


Simplifying
5 + 2z + -3 = 8z + 8 + -5z

Reorder the terms:
5 + -3 + 2z = 8z + 8 + -5z

Combine like terms: 5 + -3 = 2
2 + 2z = 8z + 8 + -5z

Reorder the terms:
2 + 2z = 8 + 8z + -5z

Combine like terms: 8z + -5z = 3z
2 + 2z = 8 + 3z

Solving
2 + 2z = 8 + 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.
2 + 2z + -3z = 8 + 3z + -3z

Combine like terms: 2z + -3z = -1z
2 + -1z = 8 + 3z + -3z

Combine like terms: 3z + -3z = 0
2 + -1z = 8 + 0
2 + -1z = 8

Add '-2' to each side of the equation.
2 + -2 + -1z = 8 + -2

Combine like terms: 2 + -2 = 0
0 + -1z = 8 + -2
-1z = 8 + -2

Combine like terms: 8 + -2 = 6
-1z = 6

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

Simplifying
z = -6

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