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

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


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

Reorder the terms:
4 + 6x = 4 + 3(-4 + 3x)
4 + 6x = 4 + (-4 * 3 + 3x * 3)
4 + 6x = 4 + (-12 + 9x)

Combine like terms: 4 + -12 = -8
4 + 6x = -8 + 9x

Solving
4 + 6x = -8 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
4 + 6x + -9x = -8 + 9x + -9x

Combine like terms: 6x + -9x = -3x
4 + -3x = -8 + 9x + -9x

Combine like terms: 9x + -9x = 0
4 + -3x = -8 + 0
4 + -3x = -8

Add '-4' to each side of the equation.
4 + -4 + -3x = -8 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = -8 + -4
-3x = -8 + -4

Combine like terms: -8 + -4 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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