3(z-2)=7z-(z+1)

Solution for 3(z-2)=7z-(z+1) equation:

Simplifying
3(z + -2) = 7z + -1(z + 1)

Reorder the terms:
3(-2 + z) = 7z + -1(z + 1)
(-2 * 3 + z * 3) = 7z + -1(z + 1)
(-6 + 3z) = 7z + -1(z + 1)

Reorder the terms:
-6 + 3z = 7z + -1(1 + z)
-6 + 3z = 7z + (1 * -1 + z * -1)
-6 + 3z = 7z + (-1 + -1z)

Reorder the terms:
-6 + 3z = -1 + 7z + -1z

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

Solving
-6 + 3z = -1 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
-6 + 3z + -6z = -1 + 6z + -6z

Combine like terms: 3z + -6z = -3z
-6 + -3z = -1 + 6z + -6z

Combine like terms: 6z + -6z = 0
-6 + -3z = -1 + 0
-6 + -3z = -1

Add '6' to each side of the equation.
-6 + 6 + -3z = -1 + 6

Combine like terms: -6 + 6 = 0
0 + -3z = -1 + 6
-3z = -1 + 6

Combine like terms: -1 + 6 = 5
-3z = 5

Divide each side by '-3'.
z = -1.666666667

Simplifying
z = -1.666666667