5z-4=3(z+2)

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Solution for 5z-4=3(z+2) equation:


Simplifying
5z + -4 = 3(z + 2)

Reorder the terms:
-4 + 5z = 3(z + 2)

Reorder the terms:
-4 + 5z = 3(2 + z)
-4 + 5z = (2 * 3 + z * 3)
-4 + 5z = (6 + 3z)

Solving
-4 + 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.
-4 + 5z + -3z = 6 + 3z + -3z

Combine like terms: 5z + -3z = 2z
-4 + 2z = 6 + 3z + -3z

Combine like terms: 3z + -3z = 0
-4 + 2z = 6 + 0
-4 + 2z = 6

Add '4' to each side of the equation.
-4 + 4 + 2z = 6 + 4

Combine like terms: -4 + 4 = 0
0 + 2z = 6 + 4
2z = 6 + 4

Combine like terms: 6 + 4 = 10
2z = 10

Divide each side by '2'.
z = 5

Simplifying
z = 5

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