2(2+3x)+2(2x-1)=3(x+6)

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Solution for 2(2+3x)+2(2x-1)=3(x+6) equation: 


Simplifying
2(2 + 3x) + 2(2x + -1) = 3(x + 6)
(2 * 2 + 3x * 2) + 2(2x + -1) = 3(x + 6)
(4 + 6x) + 2(2x + -1) = 3(x + 6)

Reorder the terms:
4 + 6x + 2(-1 + 2x) = 3(x + 6)
4 + 6x + (-1 * 2 + 2x * 2) = 3(x + 6)
4 + 6x + (-2 + 4x) = 3(x + 6)

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

Combine like terms: 4 + -2 = 2
2 + 6x + 4x = 3(x + 6)

Combine like terms: 6x + 4x = 10x
2 + 10x = 3(x + 6)

Reorder the terms:
2 + 10x = 3(6 + x)
2 + 10x = (6 * 3 + x * 3)
2 + 10x = (18 + 3x)

Solving
2 + 10x = 18 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
2 + 10x + -3x = 18 + 3x + -3x

Combine like terms: 10x + -3x = 7x
2 + 7x = 18 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + 7x = 18 + 0
2 + 7x = 18

Add '-2' to each side of the equation.
2 + -2 + 7x = 18 + -2

Combine like terms: 2 + -2 = 0
0 + 7x = 18 + -2
7x = 18 + -2

Combine like terms: 18 + -2 = 16
7x = 16

Divide each side by '7'.
x = 2.285714286

Simplifying
x = 2.285714286

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