5(6z-1)-5(z+5)=22(z+1)

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Solution for 5(6z-1)-5(z+5)=22(z+1) equation:


Simplifying
5(6z + -1) + -5(z + 5) = 22(z + 1)

Reorder the terms:
5(-1 + 6z) + -5(z + 5) = 22(z + 1)
(-1 * 5 + 6z * 5) + -5(z + 5) = 22(z + 1)
(-5 + 30z) + -5(z + 5) = 22(z + 1)

Reorder the terms:
-5 + 30z + -5(5 + z) = 22(z + 1)
-5 + 30z + (5 * -5 + z * -5) = 22(z + 1)
-5 + 30z + (-25 + -5z) = 22(z + 1)

Reorder the terms:
-5 + -25 + 30z + -5z = 22(z + 1)

Combine like terms: -5 + -25 = -30
-30 + 30z + -5z = 22(z + 1)

Combine like terms: 30z + -5z = 25z
-30 + 25z = 22(z + 1)

Reorder the terms:
-30 + 25z = 22(1 + z)
-30 + 25z = (1 * 22 + z * 22)
-30 + 25z = (22 + 22z)

Solving
-30 + 25z = 22 + 22z

Solving for variable 'z'.

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

Add '-22z' to each side of the equation.
-30 + 25z + -22z = 22 + 22z + -22z

Combine like terms: 25z + -22z = 3z
-30 + 3z = 22 + 22z + -22z

Combine like terms: 22z + -22z = 0
-30 + 3z = 22 + 0
-30 + 3z = 22

Add '30' to each side of the equation.
-30 + 30 + 3z = 22 + 30

Combine like terms: -30 + 30 = 0
0 + 3z = 22 + 30
3z = 22 + 30

Combine like terms: 22 + 30 = 52
3z = 52

Divide each side by '3'.
z = 17.33333333

Simplifying
z = 17.33333333

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