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

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


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

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

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

Solving
12 + 6x = -4 + 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 = -4 + 14x + -14x

Combine like terms: 6x + -14x = -8x
12 + -8x = -4 + 14x + -14x

Combine like terms: 14x + -14x = 0
12 + -8x = -4 + 0
12 + -8x = -4

Add '-12' to each side of the equation.
12 + -12 + -8x = -4 + -12

Combine like terms: 12 + -12 = 0
0 + -8x = -4 + -12
-8x = -4 + -12

Combine like terms: -4 + -12 = -16
-8x = -16

Divide each side by '-8'.
x = 2

Simplifying
x = 2

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