3(z+4)+2=2z-5z+1

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Solution for 3(z+4)+2=2z-5z+1 equation: 


Simplifying
3(z + 4) + 2 = 2z + -5z + 1

Reorder the terms:
3(4 + z) + 2 = 2z + -5z + 1
(4 * 3 + z * 3) + 2 = 2z + -5z + 1
(12 + 3z) + 2 = 2z + -5z + 1

Reorder the terms:
12 + 2 + 3z = 2z + -5z + 1

Combine like terms: 12 + 2 = 14
14 + 3z = 2z + -5z + 1

Reorder the terms:
14 + 3z = 1 + 2z + -5z

Combine like terms: 2z + -5z = -3z
14 + 3z = 1 + -3z

Solving
14 + 3z = 1 + -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.
14 + 3z + 3z = 1 + -3z + 3z

Combine like terms: 3z + 3z = 6z
14 + 6z = 1 + -3z + 3z

Combine like terms: -3z + 3z = 0
14 + 6z = 1 + 0
14 + 6z = 1

Add '-14' to each side of the equation.
14 + -14 + 6z = 1 + -14

Combine like terms: 14 + -14 = 0
0 + 6z = 1 + -14
6z = 1 + -14

Combine like terms: 1 + -14 = -13
6z = -13

Divide each side by '6'.
z = -2.166666667

Simplifying
z = -2.166666667

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