2x-4(4-3x)=5(x-5)-45

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Solution for 2x-4(4-3x)=5(x-5)-45 equation: 


Simplifying
2x + -4(4 + -3x) = 5(x + -5) + -45
2x + (4 * -4 + -3x * -4) = 5(x + -5) + -45
2x + (-16 + 12x) = 5(x + -5) + -45

Reorder the terms:
-16 + 2x + 12x = 5(x + -5) + -45

Combine like terms: 2x + 12x = 14x
-16 + 14x = 5(x + -5) + -45

Reorder the terms:
-16 + 14x = 5(-5 + x) + -45
-16 + 14x = (-5 * 5 + x * 5) + -45
-16 + 14x = (-25 + 5x) + -45

Reorder the terms:
-16 + 14x = -25 + -45 + 5x

Combine like terms: -25 + -45 = -70
-16 + 14x = -70 + 5x

Solving
-16 + 14x = -70 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-16 + 14x + -5x = -70 + 5x + -5x

Combine like terms: 14x + -5x = 9x
-16 + 9x = -70 + 5x + -5x

Combine like terms: 5x + -5x = 0
-16 + 9x = -70 + 0
-16 + 9x = -70

Add '16' to each side of the equation.
-16 + 16 + 9x = -70 + 16

Combine like terms: -16 + 16 = 0
0 + 9x = -70 + 16
9x = -70 + 16

Combine like terms: -70 + 16 = -54
9x = -54

Divide each side by '9'.
x = -6

Simplifying
x = -6

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