-2x-3(3-4x)=3(x-3)-14

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Solution for -2x-3(3-4x)=3(x-3)-14 equation: 


Simplifying
-2x + -3(3 + -4x) = 3(x + -3) + -14
-2x + (3 * -3 + -4x * -3) = 3(x + -3) + -14
-2x + (-9 + 12x) = 3(x + -3) + -14

Reorder the terms:
-9 + -2x + 12x = 3(x + -3) + -14

Combine like terms: -2x + 12x = 10x
-9 + 10x = 3(x + -3) + -14

Reorder the terms:
-9 + 10x = 3(-3 + x) + -14
-9 + 10x = (-3 * 3 + x * 3) + -14
-9 + 10x = (-9 + 3x) + -14

Reorder the terms:
-9 + 10x = -9 + -14 + 3x

Combine like terms: -9 + -14 = -23
-9 + 10x = -23 + 3x

Solving
-9 + 10x = -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.
-9 + 10x + -3x = -23 + 3x + -3x

Combine like terms: 10x + -3x = 7x
-9 + 7x = -23 + 3x + -3x

Combine like terms: 3x + -3x = 0
-9 + 7x = -23 + 0
-9 + 7x = -23

Add '9' to each side of the equation.
-9 + 9 + 7x = -23 + 9

Combine like terms: -9 + 9 = 0
0 + 7x = -23 + 9
7x = -23 + 9

Combine like terms: -23 + 9 = -14
7x = -14

Divide each side by '7'.
x = -2

Simplifying
x = -2

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