5z-7=2z+11

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Solution for 5z-7=2z+11 equation:


Simplifying
5z + -7 = 2z + 11

Reorder the terms:
-7 + 5z = 2z + 11

Reorder the terms:
-7 + 5z = 11 + 2z

Solving
-7 + 5z = 11 + 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.
-7 + 5z + -2z = 11 + 2z + -2z

Combine like terms: 5z + -2z = 3z
-7 + 3z = 11 + 2z + -2z

Combine like terms: 2z + -2z = 0
-7 + 3z = 11 + 0
-7 + 3z = 11

Add '7' to each side of the equation.
-7 + 7 + 3z = 11 + 7

Combine like terms: -7 + 7 = 0
0 + 3z = 11 + 7
3z = 11 + 7

Combine like terms: 11 + 7 = 18
3z = 18

Divide each side by '3'.
z = 6

Simplifying
z = 6

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