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

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


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

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

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

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

Combine like terms: 8 + 8 = 16
16 + 6x + -4x = 3(2x + 8) + -3(2x + -3)

Combine like terms: 6x + -4x = 2x
16 + 2x = 3(2x + 8) + -3(2x + -3)

Reorder the terms:
16 + 2x = 3(8 + 2x) + -3(2x + -3)
16 + 2x = (8 * 3 + 2x * 3) + -3(2x + -3)
16 + 2x = (24 + 6x) + -3(2x + -3)

Reorder the terms:
16 + 2x = 24 + 6x + -3(-3 + 2x)
16 + 2x = 24 + 6x + (-3 * -3 + 2x * -3)
16 + 2x = 24 + 6x + (9 + -6x)

Reorder the terms:
16 + 2x = 24 + 9 + 6x + -6x

Combine like terms: 24 + 9 = 33
16 + 2x = 33 + 6x + -6x

Combine like terms: 6x + -6x = 0
16 + 2x = 33 + 0
16 + 2x = 33

Solving
16 + 2x = 33

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 2x = 33 + -16

Combine like terms: 16 + -16 = 0
0 + 2x = 33 + -16
2x = 33 + -16

Combine like terms: 33 + -16 = 17
2x = 17

Divide each side by '2'.
x = 8.5

Simplifying
x = 8.5

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