3x-5(x-4)=-9+4x-7

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Solution for 3x-5(x-4)=-9+4x-7 equation: 


Simplifying
3x + -5(x + -4) = -9 + 4x + -7

Reorder the terms:
3x + -5(-4 + x) = -9 + 4x + -7
3x + (-4 * -5 + x * -5) = -9 + 4x + -7
3x + (20 + -5x) = -9 + 4x + -7

Reorder the terms:
20 + 3x + -5x = -9 + 4x + -7

Combine like terms: 3x + -5x = -2x
20 + -2x = -9 + 4x + -7

Reorder the terms:
20 + -2x = -9 + -7 + 4x

Combine like terms: -9 + -7 = -16
20 + -2x = -16 + 4x

Solving
20 + -2x = -16 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
20 + -2x + -4x = -16 + 4x + -4x

Combine like terms: -2x + -4x = -6x
20 + -6x = -16 + 4x + -4x

Combine like terms: 4x + -4x = 0
20 + -6x = -16 + 0
20 + -6x = -16

Add '-20' to each side of the equation.
20 + -20 + -6x = -16 + -20

Combine like terms: 20 + -20 = 0
0 + -6x = -16 + -20
-6x = -16 + -20

Combine like terms: -16 + -20 = -36
-6x = -36

Divide each side by '-6'.
x = 6

Simplifying
x = 6

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