2(4x+6)+2x=3(2x+8)

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Solution for 2(4x+6)+2x=3(2x+8) equation:


Simplifying
2(4x + 6) + 2x = 3(2x + 8)

Reorder the terms:
2(6 + 4x) + 2x = 3(2x + 8)
(6 * 2 + 4x * 2) + 2x = 3(2x + 8)
(12 + 8x) + 2x = 3(2x + 8)

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

Reorder the terms:
12 + 10x = 3(8 + 2x)
12 + 10x = (8 * 3 + 2x * 3)
12 + 10x = (24 + 6x)

Solving
12 + 10x = 24 + 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.
12 + 10x + -6x = 24 + 6x + -6x

Combine like terms: 10x + -6x = 4x
12 + 4x = 24 + 6x + -6x

Combine like terms: 6x + -6x = 0
12 + 4x = 24 + 0
12 + 4x = 24

Add '-12' to each side of the equation.
12 + -12 + 4x = 24 + -12

Combine like terms: 12 + -12 = 0
0 + 4x = 24 + -12
4x = 24 + -12

Combine like terms: 24 + -12 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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