-2(3-4z)+7z=12z-(z+4)

Solution for -2(3-4z)+7z=12z-(z+4) equation:

Simplifying
-2(3 + -4z) + 7z = 12z + -1(z + 4)
(3 * -2 + -4z * -2) + 7z = 12z + -1(z + 4)
(-6 + 8z) + 7z = 12z + -1(z + 4)

Combine like terms: 8z + 7z = 15z
-6 + 15z = 12z + -1(z + 4)

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

Reorder the terms:
-6 + 15z = -4 + 12z + -1z

Combine like terms: 12z + -1z = 11z
-6 + 15z = -4 + 11z

Solving
-6 + 15z = -4 + 11z

Solving for variable 'z'.

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

Add '-11z' to each side of the equation.
-6 + 15z + -11z = -4 + 11z + -11z

Combine like terms: 15z + -11z = 4z
-6 + 4z = -4 + 11z + -11z

Combine like terms: 11z + -11z = 0
-6 + 4z = -4 + 0
-6 + 4z = -4

Add '6' to each side of the equation.
-6 + 6 + 4z = -4 + 6

Combine like terms: -6 + 6 = 0
0 + 4z = -4 + 6
4z = -4 + 6

Combine like terms: -4 + 6 = 2
4z = 2

Divide each side by '4'.
z = 0.5

Simplifying
z = 0.5