2(x-3)=42-4x

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Solution for 2(x-3)=42-4x equation:


Simplifying
2(x + -3) = 42 + -4x

Reorder the terms:
2(-3 + x) = 42 + -4x
(-3 * 2 + x * 2) = 42 + -4x
(-6 + 2x) = 42 + -4x

Solving
-6 + 2x = 42 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-6 + 2x + 4x = 42 + -4x + 4x

Combine like terms: 2x + 4x = 6x
-6 + 6x = 42 + -4x + 4x

Combine like terms: -4x + 4x = 0
-6 + 6x = 42 + 0
-6 + 6x = 42

Add '6' to each side of the equation.
-6 + 6 + 6x = 42 + 6

Combine like terms: -6 + 6 = 0
0 + 6x = 42 + 6
6x = 42 + 6

Combine like terms: 42 + 6 = 48
6x = 48

Divide each side by '6'.
x = 8

Simplifying
x = 8

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