5z+3=3z-11

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Solution for 5z+3=3z-11 equation:


Simplifying
5z + 3 = 3z + -11

Reorder the terms:
3 + 5z = 3z + -11

Reorder the terms:
3 + 5z = -11 + 3z

Solving
3 + 5z = -11 + 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.
3 + 5z + -3z = -11 + 3z + -3z

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

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

Add '-3' to each side of the equation.
3 + -3 + 2z = -11 + -3

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

Combine like terms: -11 + -3 = -14
2z = -14

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

Simplifying
z = -7

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