2(3x-6)=7(4-2x)

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Solution for 2(3x-6)=7(4-2x) equation:


Simplifying
2(3x + -6) = 7(4 + -2x)

Reorder the terms:
2(-6 + 3x) = 7(4 + -2x)
(-6 * 2 + 3x * 2) = 7(4 + -2x)
(-12 + 6x) = 7(4 + -2x)
-12 + 6x = (4 * 7 + -2x * 7)
-12 + 6x = (28 + -14x)

Solving
-12 + 6x = 28 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
-12 + 6x + 14x = 28 + -14x + 14x

Combine like terms: 6x + 14x = 20x
-12 + 20x = 28 + -14x + 14x

Combine like terms: -14x + 14x = 0
-12 + 20x = 28 + 0
-12 + 20x = 28

Add '12' to each side of the equation.
-12 + 12 + 20x = 28 + 12

Combine like terms: -12 + 12 = 0
0 + 20x = 28 + 12
20x = 28 + 12

Combine like terms: 28 + 12 = 40
20x = 40

Divide each side by '20'.
x = 2

Simplifying
x = 2

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