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

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


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

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

Combine like terms: 2 + -2 = 0
0 + -1x = -3(2 + -1x)
-1x = -3(2 + -1x)
-1x = (2 * -3 + -1x * -3)
-1x = (-6 + 3x)

Solving
-1x = -6 + 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.
-1x + -3x = -6 + 3x + -3x

Combine like terms: -1x + -3x = -4x
-4x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-4x = -6 + 0
-4x = -6

Divide each side by '-4'.
x = 1.5

Simplifying
x = 1.5

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