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

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


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

Reorder the terms:
-3(-3 + x) + 2(4 + -2x) = -2
(-3 * -3 + x * -3) + 2(4 + -2x) = -2
(9 + -3x) + 2(4 + -2x) = -2
9 + -3x + (4 * 2 + -2x * 2) = -2
9 + -3x + (8 + -4x) = -2

Reorder the terms:
9 + 8 + -3x + -4x = -2

Combine like terms: 9 + 8 = 17
17 + -3x + -4x = -2

Combine like terms: -3x + -4x = -7x
17 + -7x = -2

Solving
17 + -7x = -2

Solving for variable 'x'.

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

Add '-17' to each side of the equation.
17 + -17 + -7x = -2 + -17

Combine like terms: 17 + -17 = 0
0 + -7x = -2 + -17
-7x = -2 + -17

Combine like terms: -2 + -17 = -19
-7x = -19

Divide each side by '-7'.
x = 2.714285714

Simplifying
x = 2.714285714

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