4*(2-x)=-3*(x+2)

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


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

Reorder the terms:
8 + -4x = -3(2 + x)
8 + -4x = (2 * -3 + x * -3)
8 + -4x = (-6 + -3x)

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

Combine like terms: -4x + 3x = -1x
8 + -1x = -6 + -3x + 3x

Combine like terms: -3x + 3x = 0
8 + -1x = -6 + 0
8 + -1x = -6

Add '-8' to each side of the equation.
8 + -8 + -1x = -6 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = -6 + -8
-1x = -6 + -8

Combine like terms: -6 + -8 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14

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