5(4x-2)=2(3+6x)

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Solution for 5(4x-2)=2(3+6x) equation:


Simplifying
5(4x + -2) = 2(3 + 6x)

Reorder the terms:
5(-2 + 4x) = 2(3 + 6x)
(-2 * 5 + 4x * 5) = 2(3 + 6x)
(-10 + 20x) = 2(3 + 6x)
-10 + 20x = (3 * 2 + 6x * 2)
-10 + 20x = (6 + 12x)

Solving
-10 + 20x = 6 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-10 + 20x + -12x = 6 + 12x + -12x

Combine like terms: 20x + -12x = 8x
-10 + 8x = 6 + 12x + -12x

Combine like terms: 12x + -12x = 0
-10 + 8x = 6 + 0
-10 + 8x = 6

Add '10' to each side of the equation.
-10 + 10 + 8x = 6 + 10

Combine like terms: -10 + 10 = 0
0 + 8x = 6 + 10
8x = 6 + 10

Combine like terms: 6 + 10 = 16
8x = 16

Divide each side by '8'.
x = 2

Simplifying
x = 2

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