2(2z)+2(3z+2)=54

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Solution for 2(2z)+2(3z+2)=54 equation:


Simplifying
2(2z) + 2(3z + 2) = 54

Remove parenthesis around (2z)
2 * 2z + 2(3z + 2) = 54

Multiply 2 * 2
4z + 2(3z + 2) = 54

Reorder the terms:
4z + 2(2 + 3z) = 54
4z + (2 * 2 + 3z * 2) = 54
4z + (4 + 6z) = 54

Reorder the terms:
4 + 4z + 6z = 54

Combine like terms: 4z + 6z = 10z
4 + 10z = 54

Solving
4 + 10z = 54

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + 10z = 54 + -4

Combine like terms: 4 + -4 = 0
0 + 10z = 54 + -4
10z = 54 + -4

Combine like terms: 54 + -4 = 50
10z = 50

Divide each side by '10'.
z = 5

Simplifying
z = 5

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