5z+2=3z+6

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


Simplifying
5z + 2 = 3z + 6

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

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

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

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

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

Add '-2' to each side of the equation.
2 + -2 + 2z = 6 + -2

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

Combine like terms: 6 + -2 = 4
2z = 4

Divide each side by '2'.
z = 2

Simplifying
z = 2

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