2(3x-3)-2(3-3z)=2

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Solution for 2(3x-3)-2(3-3z)=2 equation:


Simplifying
2(3x + -3) + -2(3 + -3z) = 2

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

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

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

Solving
-12 + 6x + 6z = 2

Solving for variable 'x'.

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

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

Reorder the terms:
-12 + 12 + 6x + 6z = 2 + 12

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

Combine like terms: 2 + 12 = 14
6x + 6z = 14

Add '-6z' to each side of the equation.
6x + 6z + -6z = 14 + -6z

Combine like terms: 6z + -6z = 0
6x + 0 = 14 + -6z
6x = 14 + -6z

Divide each side by '6'.
x = 2.333333333 + -1z

Simplifying
x = 2.333333333 + -1z

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