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

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

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

Reorder the terms:
5(-1 + 2z) + -5(z + 6) = 2(z + 1)
(-1 * 5 + 2z * 5) + -5(z + 6) = 2(z + 1)
(-5 + 10z) + -5(z + 6) = 2(z + 1)

Reorder the terms:
-5 + 10z + -5(6 + z) = 2(z + 1)
-5 + 10z + (6 * -5 + z * -5) = 2(z + 1)
-5 + 10z + (-30 + -5z) = 2(z + 1)

Reorder the terms:
-5 + -30 + 10z + -5z = 2(z + 1)

Combine like terms: -5 + -30 = -35
-35 + 10z + -5z = 2(z + 1)

Combine like terms: 10z + -5z = 5z
-35 + 5z = 2(z + 1)

Reorder the terms:
-35 + 5z = 2(1 + z)
-35 + 5z = (1 * 2 + z * 2)
-35 + 5z = (2 + 2z)

Solving
-35 + 5z = 2 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
-35 + 5z + -2z = 2 + 2z + -2z

Combine like terms: 5z + -2z = 3z
-35 + 3z = 2 + 2z + -2z

Combine like terms: 2z + -2z = 0
-35 + 3z = 2 + 0
-35 + 3z = 2

Add '35' to each side of the equation.
-35 + 35 + 3z = 2 + 35

Combine like terms: -35 + 35 = 0
0 + 3z = 2 + 35
3z = 2 + 35

Combine like terms: 2 + 35 = 37
3z = 37

Divide each side by '3'.
z = 12.33333333

Simplifying
z = 12.33333333