-2(2-4)-(3z-2)=-2(6z-2)

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


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

Combine like terms: 2 + -4 = -2
-2(-2) + -1(3z + -2) = -2(6z + -2)

Multiply -2 * -2
4 + -1(3z + -2) = -2(6z + -2)

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

Combine like terms: 4 + 2 = 6
6 + -3z = -2(6z + -2)

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

Solving
6 + -3z = 4 + -12z

Solving for variable 'z'.

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

Add '12z' to each side of the equation.
6 + -3z + 12z = 4 + -12z + 12z

Combine like terms: -3z + 12z = 9z
6 + 9z = 4 + -12z + 12z

Combine like terms: -12z + 12z = 0
6 + 9z = 4 + 0
6 + 9z = 4

Add '-6' to each side of the equation.
6 + -6 + 9z = 4 + -6

Combine like terms: 6 + -6 = 0
0 + 9z = 4 + -6
9z = 4 + -6

Combine like terms: 4 + -6 = -2
9z = -2

Divide each side by '9'.
z = -0.2222222222

Simplifying
z = -0.2222222222

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