7z-2=3z-9

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Solution for 7z-2=3z-9 equation:


Simplifying
7z + -2 = 3z + -9

Reorder the terms:
-2 + 7z = 3z + -9

Reorder the terms:
-2 + 7z = -9 + 3z

Solving
-2 + 7z = -9 + 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.
-2 + 7z + -3z = -9 + 3z + -3z

Combine like terms: 7z + -3z = 4z
-2 + 4z = -9 + 3z + -3z

Combine like terms: 3z + -3z = 0
-2 + 4z = -9 + 0
-2 + 4z = -9

Add '2' to each side of the equation.
-2 + 2 + 4z = -9 + 2

Combine like terms: -2 + 2 = 0
0 + 4z = -9 + 2
4z = -9 + 2

Combine like terms: -9 + 2 = -7
4z = -7

Divide each side by '4'.
z = -1.75

Simplifying
z = -1.75

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