9(1-z)+5z=3z-5

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Solution for 9(1-z)+5z=3z-5 equation:


Simplifying
9(1 + -1z) + 5z = 3z + -5
(1 * 9 + -1z * 9) + 5z = 3z + -5
(9 + -9z) + 5z = 3z + -5

Combine like terms: -9z + 5z = -4z
9 + -4z = 3z + -5

Reorder the terms:
9 + -4z = -5 + 3z

Solving
9 + -4z = -5 + 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.
9 + -4z + -3z = -5 + 3z + -3z

Combine like terms: -4z + -3z = -7z
9 + -7z = -5 + 3z + -3z

Combine like terms: 3z + -3z = 0
9 + -7z = -5 + 0
9 + -7z = -5

Add '-9' to each side of the equation.
9 + -9 + -7z = -5 + -9

Combine like terms: 9 + -9 = 0
0 + -7z = -5 + -9
-7z = -5 + -9

Combine like terms: -5 + -9 = -14
-7z = -14

Divide each side by '-7'.
z = 2

Simplifying
z = 2

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