2(z+6)=3z-5

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Solution for 2(z+6)=3z-5 equation:


Simplifying
2(z + 6) = 3z + -5

Reorder the terms:
2(6 + z) = 3z + -5
(6 * 2 + z * 2) = 3z + -5
(12 + 2z) = 3z + -5

Reorder the terms:
12 + 2z = -5 + 3z

Solving
12 + 2z = -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.
12 + 2z + -3z = -5 + 3z + -3z

Combine like terms: 2z + -3z = -1z
12 + -1z = -5 + 3z + -3z

Combine like terms: 3z + -3z = 0
12 + -1z = -5 + 0
12 + -1z = -5

Add '-12' to each side of the equation.
12 + -12 + -1z = -5 + -12

Combine like terms: 12 + -12 = 0
0 + -1z = -5 + -12
-1z = -5 + -12

Combine like terms: -5 + -12 = -17
-1z = -17

Divide each side by '-1'.
z = 17

Simplifying
z = 17

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