2x-4(x-5)=-9+3x+14

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Solution for 2x-4(x-5)=-9+3x+14 equation: 


Simplifying
2x + -4(x + -5) = -9 + 3x + 14

Reorder the terms:
2x + -4(-5 + x) = -9 + 3x + 14
2x + (-5 * -4 + x * -4) = -9 + 3x + 14
2x + (20 + -4x) = -9 + 3x + 14

Reorder the terms:
20 + 2x + -4x = -9 + 3x + 14

Combine like terms: 2x + -4x = -2x
20 + -2x = -9 + 3x + 14

Reorder the terms:
20 + -2x = -9 + 14 + 3x

Combine like terms: -9 + 14 = 5
20 + -2x = 5 + 3x

Solving
20 + -2x = 5 + 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.
20 + -2x + -3x = 5 + 3x + -3x

Combine like terms: -2x + -3x = -5x
20 + -5x = 5 + 3x + -3x

Combine like terms: 3x + -3x = 0
20 + -5x = 5 + 0
20 + -5x = 5

Add '-20' to each side of the equation.
20 + -20 + -5x = 5 + -20

Combine like terms: 20 + -20 = 0
0 + -5x = 5 + -20
-5x = 5 + -20

Combine like terms: 5 + -20 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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