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

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


Simplifying
2(1 + -1x) = 2x + 3(2 + -3x)
(1 * 2 + -1x * 2) = 2x + 3(2 + -3x)
(2 + -2x) = 2x + 3(2 + -3x)
2 + -2x = 2x + (2 * 3 + -3x * 3)
2 + -2x = 2x + (6 + -9x)

Reorder the terms:
2 + -2x = 6 + 2x + -9x

Combine like terms: 2x + -9x = -7x
2 + -2x = 6 + -7x

Solving
2 + -2x = 6 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
2 + -2x + 7x = 6 + -7x + 7x

Combine like terms: -2x + 7x = 5x
2 + 5x = 6 + -7x + 7x

Combine like terms: -7x + 7x = 0
2 + 5x = 6 + 0
2 + 5x = 6

Add '-2' to each side of the equation.
2 + -2 + 5x = 6 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = 6 + -2
5x = 6 + -2

Combine like terms: 6 + -2 = 4
5x = 4

Divide each side by '5'.
x = 0.8

Simplifying
x = 0.8

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