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

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


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

Reorder the terms:
3(-4 + 2x) + 8x = -3x + 2
(-4 * 3 + 2x * 3) + 8x = -3x + 2
(-12 + 6x) + 8x = -3x + 2

Combine like terms: 6x + 8x = 14x
-12 + 14x = -3x + 2

Reorder the terms:
-12 + 14x = 2 + -3x

Solving
-12 + 14x = 2 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-12 + 14x + 3x = 2 + -3x + 3x

Combine like terms: 14x + 3x = 17x
-12 + 17x = 2 + -3x + 3x

Combine like terms: -3x + 3x = 0
-12 + 17x = 2 + 0
-12 + 17x = 2

Add '12' to each side of the equation.
-12 + 12 + 17x = 2 + 12

Combine like terms: -12 + 12 = 0
0 + 17x = 2 + 12
17x = 2 + 12

Combine like terms: 2 + 12 = 14
17x = 14

Divide each side by '17'.
x = 0.8235294118

Simplifying
x = 0.8235294118

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