2(x-2)=52-6x

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Solution for 2(x-2)=52-6x equation:


Simplifying
2(x + -2) = 52 + -6x

Reorder the terms:
2(-2 + x) = 52 + -6x
(-2 * 2 + x * 2) = 52 + -6x
(-4 + 2x) = 52 + -6x

Solving
-4 + 2x = 52 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-4 + 2x + 6x = 52 + -6x + 6x

Combine like terms: 2x + 6x = 8x
-4 + 8x = 52 + -6x + 6x

Combine like terms: -6x + 6x = 0
-4 + 8x = 52 + 0
-4 + 8x = 52

Add '4' to each side of the equation.
-4 + 4 + 8x = 52 + 4

Combine like terms: -4 + 4 = 0
0 + 8x = 52 + 4
8x = 52 + 4

Combine like terms: 52 + 4 = 56
8x = 56

Divide each side by '8'.
x = 7

Simplifying
x = 7

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