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

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


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

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

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

Combine like terms: 2x + 3x = 5x
-4 + 5x = 3 + -3x + 3x

Combine like terms: -3x + 3x = 0
-4 + 5x = 3 + 0
-4 + 5x = 3

Add '4' to each side of the equation.
-4 + 4 + 5x = 3 + 4

Combine like terms: -4 + 4 = 0
0 + 5x = 3 + 4
5x = 3 + 4

Combine like terms: 3 + 4 = 7
5x = 7

Divide each side by '5'.
x = 1.4

Simplifying
x = 1.4

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