6(3z-1)-5(z+5)=6(z+1)

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Solution for 6(3z-1)-5(z+5)=6(z+1) equation:


Simplifying
6(3z + -1) + -5(z + 5) = 6(z + 1)

Reorder the terms:
6(-1 + 3z) + -5(z + 5) = 6(z + 1)
(-1 * 6 + 3z * 6) + -5(z + 5) = 6(z + 1)
(-6 + 18z) + -5(z + 5) = 6(z + 1)

Reorder the terms:
-6 + 18z + -5(5 + z) = 6(z + 1)
-6 + 18z + (5 * -5 + z * -5) = 6(z + 1)
-6 + 18z + (-25 + -5z) = 6(z + 1)

Reorder the terms:
-6 + -25 + 18z + -5z = 6(z + 1)

Combine like terms: -6 + -25 = -31
-31 + 18z + -5z = 6(z + 1)

Combine like terms: 18z + -5z = 13z
-31 + 13z = 6(z + 1)

Reorder the terms:
-31 + 13z = 6(1 + z)
-31 + 13z = (1 * 6 + z * 6)
-31 + 13z = (6 + 6z)

Solving
-31 + 13z = 6 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
-31 + 13z + -6z = 6 + 6z + -6z

Combine like terms: 13z + -6z = 7z
-31 + 7z = 6 + 6z + -6z

Combine like terms: 6z + -6z = 0
-31 + 7z = 6 + 0
-31 + 7z = 6

Add '31' to each side of the equation.
-31 + 31 + 7z = 6 + 31

Combine like terms: -31 + 31 = 0
0 + 7z = 6 + 31
7z = 6 + 31

Combine like terms: 6 + 31 = 37
7z = 37

Divide each side by '7'.
z = 5.285714286

Simplifying
z = 5.285714286

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