3x+2(2+3(x-1))=2(3x+4)

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Solution for 3x+2(2+3(x-1))=2(3x+4) equation:


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

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

Combine like terms: 2 + -3 = -1
3x + 2(-1 + 3x) = 2(3x + 4)
3x + (-1 * 2 + 3x * 2) = 2(3x + 4)
3x + (-2 + 6x) = 2(3x + 4)

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

Combine like terms: 3x + 6x = 9x
-2 + 9x = 2(3x + 4)

Reorder the terms:
-2 + 9x = 2(4 + 3x)
-2 + 9x = (4 * 2 + 3x * 2)
-2 + 9x = (8 + 6x)

Solving
-2 + 9x = 8 + 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.
-2 + 9x + -6x = 8 + 6x + -6x

Combine like terms: 9x + -6x = 3x
-2 + 3x = 8 + 6x + -6x

Combine like terms: 6x + -6x = 0
-2 + 3x = 8 + 0
-2 + 3x = 8

Add '2' to each side of the equation.
-2 + 2 + 3x = 8 + 2

Combine like terms: -2 + 2 = 0
0 + 3x = 8 + 2
3x = 8 + 2

Combine like terms: 8 + 2 = 10
3x = 10

Divide each side by '3'.
x = 3.333333333

Simplifying
x = 3.333333333

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