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

Solution for 6(z-2)+2z=7z+3(z-2) equation:

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

Reorder the terms:
6(-2 + z) + 2z = 7z + 3(z + -2)
(-2 * 6 + z * 6) + 2z = 7z + 3(z + -2)
(-12 + 6z) + 2z = 7z + 3(z + -2)

Combine like terms: 6z + 2z = 8z
-12 + 8z = 7z + 3(z + -2)

Reorder the terms:
-12 + 8z = 7z + 3(-2 + z)
-12 + 8z = 7z + (-2 * 3 + z * 3)
-12 + 8z = 7z + (-6 + 3z)

Reorder the terms:
-12 + 8z = -6 + 7z + 3z

Combine like terms: 7z + 3z = 10z
-12 + 8z = -6 + 10z

Solving
-12 + 8z = -6 + 10z

Solving for variable 'z'.

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

Add '-10z' to each side of the equation.
-12 + 8z + -10z = -6 + 10z + -10z

Combine like terms: 8z + -10z = -2z
-12 + -2z = -6 + 10z + -10z

Combine like terms: 10z + -10z = 0
-12 + -2z = -6 + 0
-12 + -2z = -6

Add '12' to each side of the equation.
-12 + 12 + -2z = -6 + 12

Combine like terms: -12 + 12 = 0
0 + -2z = -6 + 12
-2z = -6 + 12

Combine like terms: -6 + 12 = 6
-2z = 6

Divide each side by '-2'.
z = -3

Simplifying
z = -3