3(2x+1)-4(2x-4)=0

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Solution for 3(2x+1)-4(2x-4)=0 equation:


Simplifying
3(2x + 1) + -4(2x + -4) = 0

Reorder the terms:
3(1 + 2x) + -4(2x + -4) = 0
(1 * 3 + 2x * 3) + -4(2x + -4) = 0
(3 + 6x) + -4(2x + -4) = 0

Reorder the terms:
3 + 6x + -4(-4 + 2x) = 0
3 + 6x + (-4 * -4 + 2x * -4) = 0
3 + 6x + (16 + -8x) = 0

Reorder the terms:
3 + 16 + 6x + -8x = 0

Combine like terms: 3 + 16 = 19
19 + 6x + -8x = 0

Combine like terms: 6x + -8x = -2x
19 + -2x = 0

Solving
19 + -2x = 0

Solving for variable 'x'.

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

Add '-19' to each side of the equation.
19 + -19 + -2x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -2x = 0 + -19
-2x = 0 + -19

Combine like terms: 0 + -19 = -19
-2x = -19

Divide each side by '-2'.
x = 9.5

Simplifying
x = 9.5

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