4(2z-1)-2(z+5)=3(z+1)

Solution for 4(2z-1)-2(z+5)=3(z+1) equation:

Simplifying
4(2z + -1) + -2(z + 5) = 3(z + 1)

Reorder the terms:
4(-1 + 2z) + -2(z + 5) = 3(z + 1)
(-1 * 4 + 2z * 4) + -2(z + 5) = 3(z + 1)
(-4 + 8z) + -2(z + 5) = 3(z + 1)

Reorder the terms:
-4 + 8z + -2(5 + z) = 3(z + 1)
-4 + 8z + (5 * -2 + z * -2) = 3(z + 1)
-4 + 8z + (-10 + -2z) = 3(z + 1)

Reorder the terms:
-4 + -10 + 8z + -2z = 3(z + 1)

Combine like terms: -4 + -10 = -14
-14 + 8z + -2z = 3(z + 1)

Combine like terms: 8z + -2z = 6z
-14 + 6z = 3(z + 1)

Reorder the terms:
-14 + 6z = 3(1 + z)
-14 + 6z = (1 * 3 + z * 3)
-14 + 6z = (3 + 3z)

Solving
-14 + 6z = 3 + 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.
-14 + 6z + -3z = 3 + 3z + -3z

Combine like terms: 6z + -3z = 3z
-14 + 3z = 3 + 3z + -3z

Combine like terms: 3z + -3z = 0
-14 + 3z = 3 + 0
-14 + 3z = 3

Add '14' to each side of the equation.
-14 + 14 + 3z = 3 + 14

Combine like terms: -14 + 14 = 0
0 + 3z = 3 + 14
3z = 3 + 14

Combine like terms: 3 + 14 = 17
3z = 17

Divide each side by '3'.
z = 5.666666667

Simplifying
z = 5.666666667