-5z+3=2z+17

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Solution for -5z+3=2z+17 equation:


Simplifying
-5z + 3 = 2z + 17

Reorder the terms:
3 + -5z = 2z + 17

Reorder the terms:
3 + -5z = 17 + 2z

Solving
3 + -5z = 17 + 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.
3 + -5z + -2z = 17 + 2z + -2z

Combine like terms: -5z + -2z = -7z
3 + -7z = 17 + 2z + -2z

Combine like terms: 2z + -2z = 0
3 + -7z = 17 + 0
3 + -7z = 17

Add '-3' to each side of the equation.
3 + -3 + -7z = 17 + -3

Combine like terms: 3 + -3 = 0
0 + -7z = 17 + -3
-7z = 17 + -3

Combine like terms: 17 + -3 = 14
-7z = 14

Divide each side by '-7'.
z = -2

Simplifying
z = -2

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