5(6z-1)-2(z+2)=19(z+1)

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Solution for 5(6z-1)-2(z+2)=19(z+1) equation:


Simplifying
5(6z + -1) + -2(z + 2) = 19(z + 1)

Reorder the terms:
5(-1 + 6z) + -2(z + 2) = 19(z + 1)
(-1 * 5 + 6z * 5) + -2(z + 2) = 19(z + 1)
(-5 + 30z) + -2(z + 2) = 19(z + 1)

Reorder the terms:
-5 + 30z + -2(2 + z) = 19(z + 1)
-5 + 30z + (2 * -2 + z * -2) = 19(z + 1)
-5 + 30z + (-4 + -2z) = 19(z + 1)

Reorder the terms:
-5 + -4 + 30z + -2z = 19(z + 1)

Combine like terms: -5 + -4 = -9
-9 + 30z + -2z = 19(z + 1)

Combine like terms: 30z + -2z = 28z
-9 + 28z = 19(z + 1)

Reorder the terms:
-9 + 28z = 19(1 + z)
-9 + 28z = (1 * 19 + z * 19)
-9 + 28z = (19 + 19z)

Solving
-9 + 28z = 19 + 19z

Solving for variable 'z'.

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

Add '-19z' to each side of the equation.
-9 + 28z + -19z = 19 + 19z + -19z

Combine like terms: 28z + -19z = 9z
-9 + 9z = 19 + 19z + -19z

Combine like terms: 19z + -19z = 0
-9 + 9z = 19 + 0
-9 + 9z = 19

Add '9' to each side of the equation.
-9 + 9 + 9z = 19 + 9

Combine like terms: -9 + 9 = 0
0 + 9z = 19 + 9
9z = 19 + 9

Combine like terms: 19 + 9 = 28
9z = 28

Divide each side by '9'.
z = 3.111111111

Simplifying
z = 3.111111111

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