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

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


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

Reorder the terms:
3 + 2x + -6x = 3x + -2

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

Reorder the terms:
3 + -4x = -2 + 3x

Solving
3 + -4x = -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.
3 + -4x + -3x = -2 + 3x + -3x

Combine like terms: -4x + -3x = -7x
3 + -7x = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0
3 + -7x = -2 + 0
3 + -7x = -2

Add '-3' to each side of the equation.
3 + -3 + -7x = -2 + -3

Combine like terms: 3 + -3 = 0
0 + -7x = -2 + -3
-7x = -2 + -3

Combine like terms: -2 + -3 = -5
-7x = -5

Divide each side by '-7'.
x = 0.7142857143

Simplifying
x = 0.7142857143

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