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

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


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

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

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

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

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

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

Reorder the terms:
16 + 2x = 3(8 + x) + -3(4x + -3)
16 + 2x = (8 * 3 + x * 3) + -3(4x + -3)
16 + 2x = (24 + 3x) + -3(4x + -3)

Reorder the terms:
16 + 2x = 24 + 3x + -3(-3 + 4x)
16 + 2x = 24 + 3x + (-3 * -3 + 4x * -3)
16 + 2x = 24 + 3x + (9 + -12x)

Reorder the terms:
16 + 2x = 24 + 9 + 3x + -12x

Combine like terms: 24 + 9 = 33
16 + 2x = 33 + 3x + -12x

Combine like terms: 3x + -12x = -9x
16 + 2x = 33 + -9x

Solving
16 + 2x = 33 + -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.
16 + 2x + 9x = 33 + -9x + 9x

Combine like terms: 2x + 9x = 11x
16 + 11x = 33 + -9x + 9x

Combine like terms: -9x + 9x = 0
16 + 11x = 33 + 0
16 + 11x = 33

Add '-16' to each side of the equation.
16 + -16 + 11x = 33 + -16

Combine like terms: 16 + -16 = 0
0 + 11x = 33 + -16
11x = 33 + -16

Combine like terms: 33 + -16 = 17
11x = 17

Divide each side by '11'.
x = 1.545454545

Simplifying
x = 1.545454545

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