5(3-z)-27=19z-6(2+5z)

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Solution for 5(3-z)-27=19z-6(2+5z) equation:


Simplifying
5(3 + -1z) + -27 = 19z + -6(2 + 5z)
(3 * 5 + -1z * 5) + -27 = 19z + -6(2 + 5z)
(15 + -5z) + -27 = 19z + -6(2 + 5z)

Reorder the terms:
15 + -27 + -5z = 19z + -6(2 + 5z)

Combine like terms: 15 + -27 = -12
-12 + -5z = 19z + -6(2 + 5z)
-12 + -5z = 19z + (2 * -6 + 5z * -6)
-12 + -5z = 19z + (-12 + -30z)

Reorder the terms:
-12 + -5z = -12 + 19z + -30z

Combine like terms: 19z + -30z = -11z
-12 + -5z = -12 + -11z

Add '12' to each side of the equation.
-12 + 12 + -5z = -12 + 12 + -11z

Combine like terms: -12 + 12 = 0
0 + -5z = -12 + 12 + -11z
-5z = -12 + 12 + -11z

Combine like terms: -12 + 12 = 0
-5z = 0 + -11z
-5z = -11z

Solving
-5z = -11z

Solving for variable 'z'.

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

Add '11z' to each side of the equation.
-5z + 11z = -11z + 11z

Combine like terms: -5z + 11z = 6z
6z = -11z + 11z

Combine like terms: -11z + 11z = 0
6z = 0

Divide each side by '6'.
z = 0

Simplifying
z = 0

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