2z+2=5z-7

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Solution for 2z+2=5z-7 equation:


Simplifying
2z + 2 = 5z + -7

Reorder the terms:
2 + 2z = 5z + -7

Reorder the terms:
2 + 2z = -7 + 5z

Solving
2 + 2z = -7 + 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.
2 + 2z + -5z = -7 + 5z + -5z

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

Combine like terms: 5z + -5z = 0
2 + -3z = -7 + 0
2 + -3z = -7

Add '-2' to each side of the equation.
2 + -2 + -3z = -7 + -2

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

Combine like terms: -7 + -2 = -9
-3z = -9

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

Simplifying
z = 3

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