2(z-9)=5(z+1)-11

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Solution for 2(z-9)=5(z+1)-11 equation:


Simplifying
2(z + -9) = 5(z + 1) + -11

Reorder the terms:
2(-9 + z) = 5(z + 1) + -11
(-9 * 2 + z * 2) = 5(z + 1) + -11
(-18 + 2z) = 5(z + 1) + -11

Reorder the terms:
-18 + 2z = 5(1 + z) + -11
-18 + 2z = (1 * 5 + z * 5) + -11
-18 + 2z = (5 + 5z) + -11

Reorder the terms:
-18 + 2z = 5 + -11 + 5z

Combine like terms: 5 + -11 = -6
-18 + 2z = -6 + 5z

Solving
-18 + 2z = -6 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
-18 + 2z + -5z = -6 + 5z + -5z

Combine like terms: 2z + -5z = -3z
-18 + -3z = -6 + 5z + -5z

Combine like terms: 5z + -5z = 0
-18 + -3z = -6 + 0
-18 + -3z = -6

Add '18' to each side of the equation.
-18 + 18 + -3z = -6 + 18

Combine like terms: -18 + 18 = 0
0 + -3z = -6 + 18
-3z = -6 + 18

Combine like terms: -6 + 18 = 12
-3z = 12

Divide each side by '-3'.
z = -4

Simplifying
z = -4

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