3(5z-1)-2(z+6)=4(z+1)

Solution for 3(5z-1)-2(z+6)=4(z+1) equation:

Simplifying
3(5z + -1) + -2(z + 6) = 4(z + 1)

Reorder the terms:
3(-1 + 5z) + -2(z + 6) = 4(z + 1)
(-1 * 3 + 5z * 3) + -2(z + 6) = 4(z + 1)
(-3 + 15z) + -2(z + 6) = 4(z + 1)

Reorder the terms:
-3 + 15z + -2(6 + z) = 4(z + 1)
-3 + 15z + (6 * -2 + z * -2) = 4(z + 1)
-3 + 15z + (-12 + -2z) = 4(z + 1)

Reorder the terms:
-3 + -12 + 15z + -2z = 4(z + 1)

Combine like terms: -3 + -12 = -15
-15 + 15z + -2z = 4(z + 1)

Combine like terms: 15z + -2z = 13z
-15 + 13z = 4(z + 1)

Reorder the terms:
-15 + 13z = 4(1 + z)
-15 + 13z = (1 * 4 + z * 4)
-15 + 13z = (4 + 4z)

Solving
-15 + 13z = 4 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
-15 + 13z + -4z = 4 + 4z + -4z

Combine like terms: 13z + -4z = 9z
-15 + 9z = 4 + 4z + -4z

Combine like terms: 4z + -4z = 0
-15 + 9z = 4 + 0
-15 + 9z = 4

Add '15' to each side of the equation.
-15 + 15 + 9z = 4 + 15

Combine like terms: -15 + 15 = 0
0 + 9z = 4 + 15
9z = 4 + 15

Combine like terms: 4 + 15 = 19
9z = 19

Divide each side by '9'.
z = 2.111111111

Simplifying
z = 2.111111111