-3(1-x)+2(-2x-3)=-2(x-4)

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Solution for -3(1-x)+2(-2x-3)=-2(x-4) equation:


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

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

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

Combine like terms: -3 + -6 = -9
-9 + 3x + -4x = -2(x + -4)

Combine like terms: 3x + -4x = -1x
-9 + -1x = -2(x + -4)

Reorder the terms:
-9 + -1x = -2(-4 + x)
-9 + -1x = (-4 * -2 + x * -2)
-9 + -1x = (8 + -2x)

Solving
-9 + -1x = 8 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-9 + -1x + 2x = 8 + -2x + 2x

Combine like terms: -1x + 2x = 1x
-9 + 1x = 8 + -2x + 2x

Combine like terms: -2x + 2x = 0
-9 + 1x = 8 + 0
-9 + 1x = 8

Add '9' to each side of the equation.
-9 + 9 + 1x = 8 + 9

Combine like terms: -9 + 9 = 0
0 + 1x = 8 + 9
1x = 8 + 9

Combine like terms: 8 + 9 = 17
1x = 17

Divide each side by '1'.
x = 17

Simplifying
x = 17

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