2x-6(1+z)=2(1-2z)

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Solution for 2x-6(1+z)=2(1-2z) equation:


Simplifying
2x + -6(1 + z) = 2(1 + -2z)
2x + (1 * -6 + z * -6) = 2(1 + -2z)
2x + (-6 + -6z) = 2(1 + -2z)

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

Solving
-6 + 2x + -6z = 2 + -4z

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 2x + 6 + -6z = 2 + 6 + -4z

Reorder the terms:
-6 + 6 + 2x + -6z = 2 + 6 + -4z

Combine like terms: -6 + 6 = 0
0 + 2x + -6z = 2 + 6 + -4z
2x + -6z = 2 + 6 + -4z

Combine like terms: 2 + 6 = 8
2x + -6z = 8 + -4z

Add '6z' to each side of the equation.
2x + -6z + 6z = 8 + -4z + 6z

Combine like terms: -6z + 6z = 0
2x + 0 = 8 + -4z + 6z
2x = 8 + -4z + 6z

Combine like terms: -4z + 6z = 2z
2x = 8 + 2z

Divide each side by '2'.
x = 4 + z

Simplifying
x = 4 + z

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