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

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


Simplifying
3(1 + -2x) = 2(4x + 1)
(1 * 3 + -2x * 3) = 2(4x + 1)
(3 + -6x) = 2(4x + 1)

Reorder the terms:
3 + -6x = 2(1 + 4x)
3 + -6x = (1 * 2 + 4x * 2)
3 + -6x = (2 + 8x)

Solving
3 + -6x = 2 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
3 + -6x + -8x = 2 + 8x + -8x

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

Combine like terms: 8x + -8x = 0
3 + -14x = 2 + 0
3 + -14x = 2

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

Combine like terms: 3 + -3 = 0
0 + -14x = 2 + -3
-14x = 2 + -3

Combine like terms: 2 + -3 = -1
-14x = -1

Divide each side by '-14'.
x = 0.07142857143

Simplifying
x = 0.07142857143

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