5(2x+4)-2x=6+2(3x+12)

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Solution for 5(2x+4)-2x=6+2(3x+12) equation:


Simplifying
5(2x + 4) + -2x = 6 + 2(3x + 12)

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

Combine like terms: 10x + -2x = 8x
20 + 8x = 6 + 2(3x + 12)

Reorder the terms:
20 + 8x = 6 + 2(12 + 3x)
20 + 8x = 6 + (12 * 2 + 3x * 2)
20 + 8x = 6 + (24 + 6x)

Combine like terms: 6 + 24 = 30
20 + 8x = 30 + 6x

Solving
20 + 8x = 30 + 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.
20 + 8x + -6x = 30 + 6x + -6x

Combine like terms: 8x + -6x = 2x
20 + 2x = 30 + 6x + -6x

Combine like terms: 6x + -6x = 0
20 + 2x = 30 + 0
20 + 2x = 30

Add '-20' to each side of the equation.
20 + -20 + 2x = 30 + -20

Combine like terms: 20 + -20 = 0
0 + 2x = 30 + -20
2x = 30 + -20

Combine like terms: 30 + -20 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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