8z+9=10z-9

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Solution for 8z+9=10z-9 equation:


Simplifying
8z + 9 = 10z + -9

Reorder the terms:
9 + 8z = 10z + -9

Reorder the terms:
9 + 8z = -9 + 10z

Solving
9 + 8z = -9 + 10z

Solving for variable 'z'.

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

Add '-10z' to each side of the equation.
9 + 8z + -10z = -9 + 10z + -10z

Combine like terms: 8z + -10z = -2z
9 + -2z = -9 + 10z + -10z

Combine like terms: 10z + -10z = 0
9 + -2z = -9 + 0
9 + -2z = -9

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

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

Combine like terms: -9 + -9 = -18
-2z = -18

Divide each side by '-2'.
z = 9

Simplifying
z = 9

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