3(2z-1)-2(z+5)=2(z+1)

Solution for 3(2z-1)-2(z+5)=2(z+1) equation:

Simplifying
3(2z + -1) + -2(z + 5) = 2(z + 1)

Reorder the terms:
3(-1 + 2z) + -2(z + 5) = 2(z + 1)
(-1 * 3 + 2z * 3) + -2(z + 5) = 2(z + 1)
(-3 + 6z) + -2(z + 5) = 2(z + 1)

Reorder the terms:
-3 + 6z + -2(5 + z) = 2(z + 1)
-3 + 6z + (5 * -2 + z * -2) = 2(z + 1)
-3 + 6z + (-10 + -2z) = 2(z + 1)

Reorder the terms:
-3 + -10 + 6z + -2z = 2(z + 1)

Combine like terms: -3 + -10 = -13
-13 + 6z + -2z = 2(z + 1)

Combine like terms: 6z + -2z = 4z
-13 + 4z = 2(z + 1)

Reorder the terms:
-13 + 4z = 2(1 + z)
-13 + 4z = (1 * 2 + z * 2)
-13 + 4z = (2 + 2z)

Solving
-13 + 4z = 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.
-13 + 4z + -2z = 2 + 2z + -2z

Combine like terms: 4z + -2z = 2z
-13 + 2z = 2 + 2z + -2z

Combine like terms: 2z + -2z = 0
-13 + 2z = 2 + 0
-13 + 2z = 2

Add '13' to each side of the equation.
-13 + 13 + 2z = 2 + 13

Combine like terms: -13 + 13 = 0
0 + 2z = 2 + 13
2z = 2 + 13

Combine like terms: 2 + 13 = 15
2z = 15

Divide each side by '2'.
z = 7.5

Simplifying
z = 7.5