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

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


Simplifying
2(3 + 7x) = 4 + -2(3x + -2)
(3 * 2 + 7x * 2) = 4 + -2(3x + -2)
(6 + 14x) = 4 + -2(3x + -2)

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

Combine like terms: 4 + 4 = 8
6 + 14x = 8 + -6x

Solving
6 + 14x = 8 + -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.
6 + 14x + 6x = 8 + -6x + 6x

Combine like terms: 14x + 6x = 20x
6 + 20x = 8 + -6x + 6x

Combine like terms: -6x + 6x = 0
6 + 20x = 8 + 0
6 + 20x = 8

Add '-6' to each side of the equation.
6 + -6 + 20x = 8 + -6

Combine like terms: 6 + -6 = 0
0 + 20x = 8 + -6
20x = 8 + -6

Combine like terms: 8 + -6 = 2
20x = 2

Divide each side by '20'.
x = 0.1

Simplifying
x = 0.1

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