8(z+2)-5(z+3)=16

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Solution for 8(z+2)-5(z+3)=16 equation: 


Simplifying
8(z + 2) + -5(z + 3) = 16

Reorder the terms:
8(2 + z) + -5(z + 3) = 16
(2 * 8 + z * 8) + -5(z + 3) = 16
(16 + 8z) + -5(z + 3) = 16

Reorder the terms:
16 + 8z + -5(3 + z) = 16
16 + 8z + (3 * -5 + z * -5) = 16
16 + 8z + (-15 + -5z) = 16

Reorder the terms:
16 + -15 + 8z + -5z = 16

Combine like terms: 16 + -15 = 1
1 + 8z + -5z = 16

Combine like terms: 8z + -5z = 3z
1 + 3z = 16

Solving
1 + 3z = 16

Solving for variable 'z'.

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

Add '-1' to each side of the equation.
1 + -1 + 3z = 16 + -1

Combine like terms: 1 + -1 = 0
0 + 3z = 16 + -1
3z = 16 + -1

Combine like terms: 16 + -1 = 15
3z = 15

Divide each side by '3'.
z = 5

Simplifying
z = 5

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