5(3z+2)-1=14(z-1)+25

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Solution for 5(3z+2)-1=14(z-1)+25 equation: 


Simplifying
5(3z + 2) + -1 = 14(z + -1) + 25

Reorder the terms:
5(2 + 3z) + -1 = 14(z + -1) + 25
(2 * 5 + 3z * 5) + -1 = 14(z + -1) + 25
(10 + 15z) + -1 = 14(z + -1) + 25

Reorder the terms:
10 + -1 + 15z = 14(z + -1) + 25

Combine like terms: 10 + -1 = 9
9 + 15z = 14(z + -1) + 25

Reorder the terms:
9 + 15z = 14(-1 + z) + 25
9 + 15z = (-1 * 14 + z * 14) + 25
9 + 15z = (-14 + 14z) + 25

Reorder the terms:
9 + 15z = -14 + 25 + 14z

Combine like terms: -14 + 25 = 11
9 + 15z = 11 + 14z

Solving
9 + 15z = 11 + 14z

Solving for variable 'z'.

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

Add '-14z' to each side of the equation.
9 + 15z + -14z = 11 + 14z + -14z

Combine like terms: 15z + -14z = 1z
9 + 1z = 11 + 14z + -14z

Combine like terms: 14z + -14z = 0
9 + 1z = 11 + 0
9 + 1z = 11

Add '-9' to each side of the equation.
9 + -9 + 1z = 11 + -9

Combine like terms: 9 + -9 = 0
0 + 1z = 11 + -9
1z = 11 + -9

Combine like terms: 11 + -9 = 2
1z = 2

Divide each side by '1'.
z = 2

Simplifying
z = 2

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