(8z-17)+(5z+37)=17z-4

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Solution for (8z-17)+(5z+37)=17z-4 equation:


Simplifying
(8z + -17) + (5z + 37) = 17z + -4

Reorder the terms:
(-17 + 8z) + (5z + 37) = 17z + -4

Remove parenthesis around (-17 + 8z)
-17 + 8z + (5z + 37) = 17z + -4

Reorder the terms:
-17 + 8z + (37 + 5z) = 17z + -4

Remove parenthesis around (37 + 5z)
-17 + 8z + 37 + 5z = 17z + -4

Reorder the terms:
-17 + 37 + 8z + 5z = 17z + -4

Combine like terms: -17 + 37 = 20
20 + 8z + 5z = 17z + -4

Combine like terms: 8z + 5z = 13z
20 + 13z = 17z + -4

Reorder the terms:
20 + 13z = -4 + 17z

Solving
20 + 13z = -4 + 17z

Solving for variable 'z'.

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

Add '-17z' to each side of the equation.
20 + 13z + -17z = -4 + 17z + -17z

Combine like terms: 13z + -17z = -4z
20 + -4z = -4 + 17z + -17z

Combine like terms: 17z + -17z = 0
20 + -4z = -4 + 0
20 + -4z = -4

Add '-20' to each side of the equation.
20 + -20 + -4z = -4 + -20

Combine like terms: 20 + -20 = 0
0 + -4z = -4 + -20
-4z = -4 + -20

Combine like terms: -4 + -20 = -24
-4z = -24

Divide each side by '-4'.
z = 6

Simplifying
z = 6

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