2x-4(x-3)=-6+3x-17

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Solution for 2x-4(x-3)=-6+3x-17 equation: 


Simplifying
2x + -4(x + -3) = -6 + 3x + -17

Reorder the terms:
2x + -4(-3 + x) = -6 + 3x + -17
2x + (-3 * -4 + x * -4) = -6 + 3x + -17
2x + (12 + -4x) = -6 + 3x + -17

Reorder the terms:
12 + 2x + -4x = -6 + 3x + -17

Combine like terms: 2x + -4x = -2x
12 + -2x = -6 + 3x + -17

Reorder the terms:
12 + -2x = -6 + -17 + 3x

Combine like terms: -6 + -17 = -23
12 + -2x = -23 + 3x

Solving
12 + -2x = -23 + 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.
12 + -2x + -3x = -23 + 3x + -3x

Combine like terms: -2x + -3x = -5x
12 + -5x = -23 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + -5x = -23 + 0
12 + -5x = -23

Add '-12' to each side of the equation.
12 + -12 + -5x = -23 + -12

Combine like terms: 12 + -12 = 0
0 + -5x = -23 + -12
-5x = -23 + -12

Combine like terms: -23 + -12 = -35
-5x = -35

Divide each side by '-5'.
x = 7

Simplifying
x = 7

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