2z-19=5z+2

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Solution for 2z-19=5z+2 equation:


Simplifying
2z + -19 = 5z + 2

Reorder the terms:
-19 + 2z = 5z + 2

Reorder the terms:
-19 + 2z = 2 + 5z

Solving
-19 + 2z = 2 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
-19 + 2z + -5z = 2 + 5z + -5z

Combine like terms: 2z + -5z = -3z
-19 + -3z = 2 + 5z + -5z

Combine like terms: 5z + -5z = 0
-19 + -3z = 2 + 0
-19 + -3z = 2

Add '19' to each side of the equation.
-19 + 19 + -3z = 2 + 19

Combine like terms: -19 + 19 = 0
0 + -3z = 2 + 19
-3z = 2 + 19

Combine like terms: 2 + 19 = 21
-3z = 21

Divide each side by '-3'.
z = -7

Simplifying
z = -7

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