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

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


Simplifying
3(1 + -4x) = 2(3 + -1x)
(1 * 3 + -4x * 3) = 2(3 + -1x)
(3 + -12x) = 2(3 + -1x)
3 + -12x = (3 * 2 + -1x * 2)
3 + -12x = (6 + -2x)

Solving
3 + -12x = 6 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
3 + -12x + 2x = 6 + -2x + 2x

Combine like terms: -12x + 2x = -10x
3 + -10x = 6 + -2x + 2x

Combine like terms: -2x + 2x = 0
3 + -10x = 6 + 0
3 + -10x = 6

Add '-3' to each side of the equation.
3 + -3 + -10x = 6 + -3

Combine like terms: 3 + -3 = 0
0 + -10x = 6 + -3
-10x = 6 + -3

Combine like terms: 6 + -3 = 3
-10x = 3

Divide each side by '-10'.
x = -0.3

Simplifying
x = -0.3

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