3(6z-1)-2(z+8)=10(z+1)

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Solution for 3(6z-1)-2(z+8)=10(z+1) equation:


Simplifying
3(6z + -1) + -2(z + 8) = 10(z + 1)

Reorder the terms:
3(-1 + 6z) + -2(z + 8) = 10(z + 1)
(-1 * 3 + 6z * 3) + -2(z + 8) = 10(z + 1)
(-3 + 18z) + -2(z + 8) = 10(z + 1)

Reorder the terms:
-3 + 18z + -2(8 + z) = 10(z + 1)
-3 + 18z + (8 * -2 + z * -2) = 10(z + 1)
-3 + 18z + (-16 + -2z) = 10(z + 1)

Reorder the terms:
-3 + -16 + 18z + -2z = 10(z + 1)

Combine like terms: -3 + -16 = -19
-19 + 18z + -2z = 10(z + 1)

Combine like terms: 18z + -2z = 16z
-19 + 16z = 10(z + 1)

Reorder the terms:
-19 + 16z = 10(1 + z)
-19 + 16z = (1 * 10 + z * 10)
-19 + 16z = (10 + 10z)

Solving
-19 + 16z = 10 + 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.
-19 + 16z + -10z = 10 + 10z + -10z

Combine like terms: 16z + -10z = 6z
-19 + 6z = 10 + 10z + -10z

Combine like terms: 10z + -10z = 0
-19 + 6z = 10 + 0
-19 + 6z = 10

Add '19' to each side of the equation.
-19 + 19 + 6z = 10 + 19

Combine like terms: -19 + 19 = 0
0 + 6z = 10 + 19
6z = 10 + 19

Combine like terms: 10 + 19 = 29
6z = 29

Divide each side by '6'.
z = 4.833333333

Simplifying
z = 4.833333333

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