11(z-5)=2(2+6)-13

Solution for 11(z-5)=2(2+6)-13 equation:

Simplifying
11(z + -5) = 2(2 + 6) + -13

Reorder the terms:
11(-5 + z) = 2(2 + 6) + -13
(-5 * 11 + z * 11) = 2(2 + 6) + -13
(-55 + 11z) = 2(2 + 6) + -13

Combine like terms: 2 + 6 = 8
-55 + 11z = 2(8) + -13

Multiply 2 * 8
-55 + 11z = 16 + -13

Combine like terms: 16 + -13 = 3
-55 + 11z = 3

Solving
-55 + 11z = 3

Solving for variable 'z'.

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

Add '55' to each side of the equation.
-55 + 55 + 11z = 3 + 55

Combine like terms: -55 + 55 = 0
0 + 11z = 3 + 55
11z = 3 + 55

Combine like terms: 3 + 55 = 58
11z = 58

Divide each side by '11'.
z = 5.272727273

Simplifying
z = 5.272727273