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

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


Simplifying
3(1 + -2x) = 4(2 + -1x)
(1 * 3 + -2x * 3) = 4(2 + -1x)
(3 + -6x) = 4(2 + -1x)
3 + -6x = (2 * 4 + -1x * 4)
3 + -6x = (8 + -4x)

Solving
3 + -6x = 8 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
3 + -6x + 4x = 8 + -4x + 4x

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

Combine like terms: -4x + 4x = 0
3 + -2x = 8 + 0
3 + -2x = 8

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

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

Combine like terms: 8 + -3 = 5
-2x = 5

Divide each side by '-2'.
x = -2.5

Simplifying
x = -2.5

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