5z+3=2z+6

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Solution for 5z+3=2z+6 equation:


Simplifying
5z + 3 = 2z + 6

Reorder the terms:
3 + 5z = 2z + 6

Reorder the terms:
3 + 5z = 6 + 2z

Solving
3 + 5z = 6 + 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 = 6 + 2z + -2z

Combine like terms: 5z + -2z = 3z
3 + 3z = 6 + 2z + -2z

Combine like terms: 2z + -2z = 0
3 + 3z = 6 + 0
3 + 3z = 6

Add '-3' to each side of the equation.
3 + -3 + 3z = 6 + -3

Combine like terms: 3 + -3 = 0
0 + 3z = 6 + -3
3z = 6 + -3

Combine like terms: 6 + -3 = 3
3z = 3

Divide each side by '3'.
z = 1

Simplifying
z = 1

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