13-8z-15=7z+31-4z

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Solution for 13-8z-15=7z+31-4z equation:


Simplifying
13 + -8z + -15 = 7z + 31 + -4z

Reorder the terms:
13 + -15 + -8z = 7z + 31 + -4z

Combine like terms: 13 + -15 = -2
-2 + -8z = 7z + 31 + -4z

Reorder the terms:
-2 + -8z = 31 + 7z + -4z

Combine like terms: 7z + -4z = 3z
-2 + -8z = 31 + 3z

Solving
-2 + -8z = 31 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
-2 + -8z + -3z = 31 + 3z + -3z

Combine like terms: -8z + -3z = -11z
-2 + -11z = 31 + 3z + -3z

Combine like terms: 3z + -3z = 0
-2 + -11z = 31 + 0
-2 + -11z = 31

Add '2' to each side of the equation.
-2 + 2 + -11z = 31 + 2

Combine like terms: -2 + 2 = 0
0 + -11z = 31 + 2
-11z = 31 + 2

Combine like terms: 31 + 2 = 33
-11z = 33

Divide each side by '-11'.
z = -3

Simplifying
z = -3

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