2z+9=8z-15

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Solution for 2z+9=8z-15 equation:


Simplifying
2z + 9 = 8z + -15

Reorder the terms:
9 + 2z = 8z + -15

Reorder the terms:
9 + 2z = -15 + 8z

Solving
9 + 2z = -15 + 8z

Solving for variable 'z'.

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

Add '-8z' to each side of the equation.
9 + 2z + -8z = -15 + 8z + -8z

Combine like terms: 2z + -8z = -6z
9 + -6z = -15 + 8z + -8z

Combine like terms: 8z + -8z = 0
9 + -6z = -15 + 0
9 + -6z = -15

Add '-9' to each side of the equation.
9 + -9 + -6z = -15 + -9

Combine like terms: 9 + -9 = 0
0 + -6z = -15 + -9
-6z = -15 + -9

Combine like terms: -15 + -9 = -24
-6z = -24

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

Simplifying
z = 4

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