3(5z-1)-3(z+1)=7(z+1)

Solution for 3(5z-1)-3(z+1)=7(z+1) equation:

Simplifying
3(5z + -1) + -3(z + 1) = 7(z + 1)

Reorder the terms:
3(-1 + 5z) + -3(z + 1) = 7(z + 1)
(-1 * 3 + 5z * 3) + -3(z + 1) = 7(z + 1)
(-3 + 15z) + -3(z + 1) = 7(z + 1)

Reorder the terms:
-3 + 15z + -3(1 + z) = 7(z + 1)
-3 + 15z + (1 * -3 + z * -3) = 7(z + 1)
-3 + 15z + (-3 + -3z) = 7(z + 1)

Reorder the terms:
-3 + -3 + 15z + -3z = 7(z + 1)

Combine like terms: -3 + -3 = -6
-6 + 15z + -3z = 7(z + 1)

Combine like terms: 15z + -3z = 12z
-6 + 12z = 7(z + 1)

Reorder the terms:
-6 + 12z = 7(1 + z)
-6 + 12z = (1 * 7 + z * 7)
-6 + 12z = (7 + 7z)

Solving
-6 + 12z = 7 + 7z

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
-6 + 12z + -7z = 7 + 7z + -7z

Combine like terms: 12z + -7z = 5z
-6 + 5z = 7 + 7z + -7z

Combine like terms: 7z + -7z = 0
-6 + 5z = 7 + 0
-6 + 5z = 7

Add '6' to each side of the equation.
-6 + 6 + 5z = 7 + 6

Combine like terms: -6 + 6 = 0
0 + 5z = 7 + 6
5z = 7 + 6

Combine like terms: 7 + 6 = 13
5z = 13

Divide each side by '5'.
z = 2.6

Simplifying
z = 2.6